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Finding the Third Proportional to 130,531 and 207,702

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Solution

The third proportional to 130,531 and 207,702 is: 330,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,531 : 207,702 = 207,702 : x
  2. Step 2: Convert to fraction form
    130,531/207,702 = 207,702/x
  3. Step 3: Cross multiply
    130,531x = 207,702 × 207,702
  4. Step 4: Simplify right side
    130,531x = 43,140,120,804
  5. Step 5: Solve for x
    x = 43,140,120,804/130,531
  6. Step 6: Final answer
    x = 330,497.13

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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.