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Finding the Third Proportional to 268,220.50 and 402,337

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Solution

The third proportional to 268,220.50 and 402,337 is: 603,514.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,220.50 : 402,337 = 402,337 : x
  2. Step 2: Convert to fraction form
    268,220.50/402,337 = 402,337/x
  3. Step 3: Cross multiply
    268,220.50x = 402,337 × 402,337
  4. Step 4: Simplify right side
    268,220.50x = 161,875,061,569
  5. Step 5: Solve for x
    x = 161,875,061,569/268,220.50
  6. Step 6: Final answer
    x = 603,514.88

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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.