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Finding the Third Proportional to 148,564.13 and 223,552.41

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Solution

The third proportional to 148,564.13 and 223,552.41 is: 336,391.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,564.13 : 223,552.41 = 223,552.41 : x
  2. Step 2: Convert to fraction form
    148,564.13/223,552.41 = 223,552.41/x
  3. Step 3: Cross multiply
    148,564.13x = 223,552.41 × 223,552.41
  4. Step 4: Simplify right side
    148,564.13x = 49,975,678,340.17
  5. Step 5: Solve for x
    x = 49,975,678,340.17/148,564.13
  6. Step 6: Final answer
    x = 336,391.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.