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Finding the Third Proportional to 148,131 and 223,503.75

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Solution

The third proportional to 148,131 and 223,503.75 is: 337,228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,131 : 223,503.75 = 223,503.75 : x
  2. Step 2: Convert to fraction form
    148,131/223,503.75 = 223,503.75/x
  3. Step 3: Cross multiply
    148,131x = 223,503.75 × 223,503.75
  4. Step 4: Simplify right side
    148,131x = 49,953,926,264.06
  5. Step 5: Solve for x
    x = 49,953,926,264.06/148,131
  6. Step 6: Final answer
    x = 337,228.04

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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.