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Finding the Third Proportional to 108,513 and 225,342

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Solution

The third proportional to 108,513 and 225,342 is: 467,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,513 : 225,342 = 225,342 : x
  2. Step 2: Convert to fraction form
    108,513/225,342 = 225,342/x
  3. Step 3: Cross multiply
    108,513x = 225,342 × 225,342
  4. Step 4: Simplify right side
    108,513x = 50,779,016,964
  5. Step 5: Solve for x
    x = 50,779,016,964/108,513
  6. Step 6: Final answer
    x = 467,953.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.