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Finding the Third Proportional to 111,466 and 240,696

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Solution

The third proportional to 111,466 and 240,696 is: 519,751.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,466 : 240,696 = 240,696 : x
  2. Step 2: Convert to fraction form
    111,466/240,696 = 240,696/x
  3. Step 3: Cross multiply
    111,466x = 240,696 × 240,696
  4. Step 4: Simplify right side
    111,466x = 57,934,564,416
  5. Step 5: Solve for x
    x = 57,934,564,416/111,466
  6. Step 6: Final answer
    x = 519,751.00

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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.