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Finding the Third Proportional to 125,434.50 and 268,041

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Solution

The third proportional to 125,434.50 and 268,041 is: 572,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,434.50 : 268,041 = 268,041 : x
  2. Step 2: Convert to fraction form
    125,434.50/268,041 = 268,041/x
  3. Step 3: Cross multiply
    125,434.50x = 268,041 × 268,041
  4. Step 4: Simplify right side
    125,434.50x = 71,845,977,681
  5. Step 5: Solve for x
    x = 71,845,977,681/125,434.50
  6. Step 6: Final answer
    x = 572,776.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.