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Finding the Third Proportional to 239,292 and 348,552

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Solution

The third proportional to 239,292 and 348,552 is: 507,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,292 : 348,552 = 348,552 : x
  2. Step 2: Convert to fraction form
    239,292/348,552 = 348,552/x
  3. Step 3: Cross multiply
    239,292x = 348,552 × 348,552
  4. Step 4: Simplify right side
    239,292x = 121,488,496,704
  5. Step 5: Solve for x
    x = 121,488,496,704/239,292
  6. Step 6: Final answer
    x = 507,699.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.