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Finding the Third Proportional to 259,615.13 and 532,170

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Solution

The third proportional to 259,615.13 and 532,170 is: 1,090,864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,615.13 : 532,170 = 532,170 : x
  2. Step 2: Convert to fraction form
    259,615.13/532,170 = 532,170/x
  3. Step 3: Cross multiply
    259,615.13x = 532,170 × 532,170
  4. Step 4: Simplify right side
    259,615.13x = 283,204,908,900
  5. Step 5: Solve for x
    x = 283,204,908,900/259,615.13
  6. Step 6: Final answer
    x = 1,090,864.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.