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Finding the Third Proportional to 152,640 and 224,545.50

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Solution

The third proportional to 152,640 and 224,545.50 is: 330,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,640 : 224,545.50 = 224,545.50 : x
  2. Step 2: Convert to fraction form
    152,640/224,545.50 = 224,545.50/x
  3. Step 3: Cross multiply
    152,640x = 224,545.50 × 224,545.50
  4. Step 4: Simplify right side
    152,640x = 50,420,681,570.25
  5. Step 5: Solve for x
    x = 50,420,681,570.25/152,640
  6. Step 6: Final answer
    x = 330,324.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.