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Finding the Third Proportional to 108,306 and 241,514.72

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Solution

The third proportional to 108,306 and 241,514.72 is: 538,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,306 : 241,514.72 = 241,514.72 : x
  2. Step 2: Convert to fraction form
    108,306/241,514.72 = 241,514.72/x
  3. Step 3: Cross multiply
    108,306x = 241,514.72 × 241,514.72
  4. Step 4: Simplify right side
    108,306x = 58,329,359,372.89
  5. Step 5: Solve for x
    x = 58,329,359,372.89/108,306
  6. Step 6: Final answer
    x = 538,560.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.