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Finding the Third Proportional to 111,658.50 and 240,823.13

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Solution

The third proportional to 111,658.50 and 240,823.13 is: 519,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,658.50 : 240,823.13 = 240,823.13 : x
  2. Step 2: Convert to fraction form
    111,658.50/240,823.13 = 240,823.13/x
  3. Step 3: Cross multiply
    111,658.50x = 240,823.13 × 240,823.13
  4. Step 4: Simplify right side
    111,658.50x = 57,995,777,534.77
  5. Step 5: Solve for x
    x = 57,995,777,534.77/111,658.50
  6. Step 6: Final answer
    x = 519,403.16

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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.