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Finding the Third Proportional to 125,040 and 266,480

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Solution

The third proportional to 125,040 and 266,480 is: 567,910.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,040 : 266,480 = 266,480 : x
  2. Step 2: Convert to fraction form
    125,040/266,480 = 266,480/x
  3. Step 3: Cross multiply
    125,040x = 266,480 × 266,480
  4. Step 4: Simplify right side
    125,040x = 71,011,590,400
  5. Step 5: Solve for x
    x = 71,011,590,400/125,040
  6. Step 6: Final answer
    x = 567,910.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.