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Finding the Third Proportional to 111,496 and 240,488

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Solution

The third proportional to 111,496 and 240,488 is: 518,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,496 : 240,488 = 240,488 : x
  2. Step 2: Convert to fraction form
    111,496/240,488 = 240,488/x
  3. Step 3: Cross multiply
    111,496x = 240,488 × 240,488
  4. Step 4: Simplify right side
    111,496x = 57,834,478,144
  5. Step 5: Solve for x
    x = 57,834,478,144/111,496
  6. Step 6: Final answer
    x = 518,713.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.