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Finding the Third Proportional to 113,240 and 240,979

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Solution

The third proportional to 113,240 and 240,979 is: 512,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,240 : 240,979 = 240,979 : x
  2. Step 2: Convert to fraction form
    113,240/240,979 = 240,979/x
  3. Step 3: Cross multiply
    113,240x = 240,979 × 240,979
  4. Step 4: Simplify right side
    113,240x = 58,070,878,441
  5. Step 5: Solve for x
    x = 58,070,878,441/113,240
  6. Step 6: Final answer
    x = 512,812.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.