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Finding the Third Proportional to 148,069.50 and 223,437

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Solution

The third proportional to 148,069.50 and 223,437 is: 337,166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,069.50 : 223,437 = 223,437 : x
  2. Step 2: Convert to fraction form
    148,069.50/223,437 = 223,437/x
  3. Step 3: Cross multiply
    148,069.50x = 223,437 × 223,437
  4. Step 4: Simplify right side
    148,069.50x = 49,924,092,969
  5. Step 5: Solve for x
    x = 49,924,092,969/148,069.50
  6. Step 6: Final answer
    x = 337,166.62

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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.