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Finding the Third Proportional to 258,135.19 and 559,175.06

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Solution

The third proportional to 258,135.19 and 559,175.06 is: 1,211,290.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,135.19 : 559,175.06 = 559,175.06 : x
  2. Step 2: Convert to fraction form
    258,135.19/559,175.06 = 559,175.06/x
  3. Step 3: Cross multiply
    258,135.19x = 559,175.06 × 559,175.06
  4. Step 4: Simplify right side
    258,135.19x = 312,676,750,521.88
  5. Step 5: Solve for x
    x = 312,676,750,521.88/258,135.19
  6. Step 6: Final answer
    x = 1,211,290.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.