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Finding the Third Proportional to 111,516.75 and 232,264.13

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Solution

The third proportional to 111,516.75 and 232,264.13 is: 483,753.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,516.75 : 232,264.13 = 232,264.13 : x
  2. Step 2: Convert to fraction form
    111,516.75/232,264.13 = 232,264.13/x
  3. Step 3: Cross multiply
    111,516.75x = 232,264.13 × 232,264.13
  4. Step 4: Simplify right side
    111,516.75x = 53,946,623,762.02
  5. Step 5: Solve for x
    x = 53,946,623,762.02/111,516.75
  6. Step 6: Final answer
    x = 483,753.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.