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Finding the Third Proportional to 148,117.50 and 215,453

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Solution

The third proportional to 148,117.50 and 215,453 is: 313,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,117.50 : 215,453 = 215,453 : x
  2. Step 2: Convert to fraction form
    148,117.50/215,453 = 215,453/x
  3. Step 3: Cross multiply
    148,117.50x = 215,453 × 215,453
  4. Step 4: Simplify right side
    148,117.50x = 46,419,995,209
  5. Step 5: Solve for x
    x = 46,419,995,209/148,117.50
  6. Step 6: Final answer
    x = 313,399.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.