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Finding the Third Proportional to 112,275.97 and 242,359.28

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Solution

The third proportional to 112,275.97 and 242,359.28 is: 523,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,275.97 : 242,359.28 = 242,359.28 : x
  2. Step 2: Convert to fraction form
    112,275.97/242,359.28 = 242,359.28/x
  3. Step 3: Cross multiply
    112,275.97x = 242,359.28 × 242,359.28
  4. Step 4: Simplify right side
    112,275.97x = 58,738,019,314.58
  5. Step 5: Solve for x
    x = 58,738,019,314.58/112,275.97
  6. Step 6: Final answer
    x = 523,157.55

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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.