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Finding the Third Proportional to 129,367.50 and 207,718.50

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Solution

The third proportional to 129,367.50 and 207,718.50 is: 333,522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,367.50 : 207,718.50 = 207,718.50 : x
  2. Step 2: Convert to fraction form
    129,367.50/207,718.50 = 207,718.50/x
  3. Step 3: Cross multiply
    129,367.50x = 207,718.50 × 207,718.50
  4. Step 4: Simplify right side
    129,367.50x = 43,146,975,242.25
  5. Step 5: Solve for x
    x = 43,146,975,242.25/129,367.50
  6. Step 6: Final answer
    x = 333,522.52

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.