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Finding the Third Proportional to 243,166 and 363,776

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Solution

The third proportional to 243,166 and 363,776 is: 544,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,166 : 363,776 = 363,776 : x
  2. Step 2: Convert to fraction form
    243,166/363,776 = 363,776/x
  3. Step 3: Cross multiply
    243,166x = 363,776 × 363,776
  4. Step 4: Simplify right side
    243,166x = 132,332,978,176
  5. Step 5: Solve for x
    x = 132,332,978,176/243,166
  6. Step 6: Final answer
    x = 544,208.39

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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.