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Finding the Third Proportional to 130,918 and 207,636

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Solution

The third proportional to 130,918 and 207,636 is: 329,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,918 : 207,636 = 207,636 : x
  2. Step 2: Convert to fraction form
    130,918/207,636 = 207,636/x
  3. Step 3: Cross multiply
    130,918x = 207,636 × 207,636
  4. Step 4: Simplify right side
    130,918x = 43,112,708,496
  5. Step 5: Solve for x
    x = 43,112,708,496/130,918
  6. Step 6: Final answer
    x = 329,310.78

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