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Finding the Third Proportional to 136,379 and 297,541

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Solution

The third proportional to 136,379 and 297,541 is: 649,151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,379 : 297,541 = 297,541 : x
  2. Step 2: Convert to fraction form
    136,379/297,541 = 297,541/x
  3. Step 3: Cross multiply
    136,379x = 297,541 × 297,541
  4. Step 4: Simplify right side
    136,379x = 88,530,646,681
  5. Step 5: Solve for x
    x = 88,530,646,681/136,379
  6. Step 6: Final answer
    x = 649,151.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.