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Finding the Third Proportional to 148,807.50 and 224,553

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Solution

The third proportional to 148,807.50 and 224,553 is: 338,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,807.50 : 224,553 = 224,553 : x
  2. Step 2: Convert to fraction form
    148,807.50/224,553 = 224,553/x
  3. Step 3: Cross multiply
    148,807.50x = 224,553 × 224,553
  4. Step 4: Simplify right side
    148,807.50x = 50,424,049,809
  5. Step 5: Solve for x
    x = 50,424,049,809/148,807.50
  6. Step 6: Final answer
    x = 338,854.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.