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Finding the Third Proportional to 112,280 and 240,118

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Solution

The third proportional to 112,280 and 240,118 is: 513,507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,280 : 240,118 = 240,118 : x
  2. Step 2: Convert to fraction form
    112,280/240,118 = 240,118/x
  3. Step 3: Cross multiply
    112,280x = 240,118 × 240,118
  4. Step 4: Simplify right side
    112,280x = 57,656,653,924
  5. Step 5: Solve for x
    x = 57,656,653,924/112,280
  6. Step 6: Final answer
    x = 513,507.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.