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Finding the Third Proportional to 253,125 and 337,405.50

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Solution

The third proportional to 253,125 and 337,405.50 is: 449,748.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,125 : 337,405.50 = 337,405.50 : x
  2. Step 2: Convert to fraction form
    253,125/337,405.50 = 337,405.50/x
  3. Step 3: Cross multiply
    253,125x = 337,405.50 × 337,405.50
  4. Step 4: Simplify right side
    253,125x = 113,842,471,430.25
  5. Step 5: Solve for x
    x = 113,842,471,430.25/253,125
  6. Step 6: Final answer
    x = 449,748.04

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.