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Finding the Third Proportional to 116,422.88 and 178,017.75

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Solution

The third proportional to 116,422.88 and 178,017.75 is: 272,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,422.88 : 178,017.75 = 178,017.75 : x
  2. Step 2: Convert to fraction form
    116,422.88/178,017.75 = 178,017.75/x
  3. Step 3: Cross multiply
    116,422.88x = 178,017.75 × 178,017.75
  4. Step 4: Simplify right side
    116,422.88x = 31,690,319,315.06
  5. Step 5: Solve for x
    x = 31,690,319,315.06/116,422.88
  6. Step 6: Final answer
    x = 272,200.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.