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Finding the Third Proportional to 210,169.88 and 334,583.91

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Solution

The third proportional to 210,169.88 and 334,583.91 is: 532,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,169.88 : 334,583.91 = 334,583.91 : x
  2. Step 2: Convert to fraction form
    210,169.88/334,583.91 = 334,583.91/x
  3. Step 3: Cross multiply
    210,169.88x = 334,583.91 × 334,583.91
  4. Step 4: Simplify right side
    210,169.88x = 111,946,390,321.51
  5. Step 5: Solve for x
    x = 111,946,390,321.51/210,169.88
  6. Step 6: Final answer
    x = 532,647.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.