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Finding the Third Proportional to 111,474 and 240,363

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Solution

The third proportional to 111,474 and 240,363 is: 518,276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,474 : 240,363 = 240,363 : x
  2. Step 2: Convert to fraction form
    111,474/240,363 = 240,363/x
  3. Step 3: Cross multiply
    111,474x = 240,363 × 240,363
  4. Step 4: Simplify right side
    111,474x = 57,774,371,769
  5. Step 5: Solve for x
    x = 57,774,371,769/111,474
  6. Step 6: Final answer
    x = 518,276.65

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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.