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Finding the Third Proportional to 112,808 and 240,841

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Solution

The third proportional to 112,808 and 240,841 is: 514,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,808 : 240,841 = 240,841 : x
  2. Step 2: Convert to fraction form
    112,808/240,841 = 240,841/x
  3. Step 3: Cross multiply
    112,808x = 240,841 × 240,841
  4. Step 4: Simplify right side
    112,808x = 58,004,387,281
  5. Step 5: Solve for x
    x = 58,004,387,281/112,808
  6. Step 6: Final answer
    x = 514,186.82

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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.