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Finding the Third Proportional to 125,438.50 and 268,049

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Solution

The third proportional to 125,438.50 and 268,049 is: 572,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,438.50 : 268,049 = 268,049 : x
  2. Step 2: Convert to fraction form
    125,438.50/268,049 = 268,049/x
  3. Step 3: Cross multiply
    125,438.50x = 268,049 × 268,049
  4. Step 4: Simplify right side
    125,438.50x = 71,850,266,401
  5. Step 5: Solve for x
    x = 71,850,266,401/125,438.50
  6. Step 6: Final answer
    x = 572,792.77

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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.