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Finding the Third Proportional to 225,294.50 and 348,727

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Solution

The third proportional to 225,294.50 and 348,727 is: 539,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,294.50 : 348,727 = 348,727 : x
  2. Step 2: Convert to fraction form
    225,294.50/348,727 = 348,727/x
  3. Step 3: Cross multiply
    225,294.50x = 348,727 × 348,727
  4. Step 4: Simplify right side
    225,294.50x = 121,610,520,529
  5. Step 5: Solve for x
    x = 121,610,520,529/225,294.50
  6. Step 6: Final answer
    x = 539,784.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.