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Finding the Third Proportional to 152,553.75 and 315,715.50

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Solution

The third proportional to 152,553.75 and 315,715.50 is: 653,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,553.75 : 315,715.50 = 315,715.50 : x
  2. Step 2: Convert to fraction form
    152,553.75/315,715.50 = 315,715.50/x
  3. Step 3: Cross multiply
    152,553.75x = 315,715.50 × 315,715.50
  4. Step 4: Simplify right side
    152,553.75x = 99,676,276,940.25
  5. Step 5: Solve for x
    x = 99,676,276,940.25/152,553.75
  6. Step 6: Final answer
    x = 653,384.64

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.