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Finding the Third Proportional to 152,882.50 and 207,609.50

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Solution

The third proportional to 152,882.50 and 207,609.50 is: 281,927.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,882.50 : 207,609.50 = 207,609.50 : x
  2. Step 2: Convert to fraction form
    152,882.50/207,609.50 = 207,609.50/x
  3. Step 3: Cross multiply
    152,882.50x = 207,609.50 × 207,609.50
  4. Step 4: Simplify right side
    152,882.50x = 43,101,704,490.25
  5. Step 5: Solve for x
    x = 43,101,704,490.25/152,882.50
  6. Step 6: Final answer
    x = 281,927.00

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.