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Finding the Third Proportional to 123,248 and 265,496

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Solution

The third proportional to 123,248 and 265,496 is: 571,921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,248 : 265,496 = 265,496 : x
  2. Step 2: Convert to fraction form
    123,248/265,496 = 265,496/x
  3. Step 3: Cross multiply
    123,248x = 265,496 × 265,496
  4. Step 4: Simplify right side
    123,248x = 70,488,126,016
  5. Step 5: Solve for x
    x = 70,488,126,016/123,248
  6. Step 6: Final answer
    x = 571,921.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.