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Finding the Third Proportional to 108,312 and 225,291

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Solution

The third proportional to 108,312 and 225,291 is: 468,609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,312 : 225,291 = 225,291 : x
  2. Step 2: Convert to fraction form
    108,312/225,291 = 225,291/x
  3. Step 3: Cross multiply
    108,312x = 225,291 × 225,291
  4. Step 4: Simplify right side
    108,312x = 50,756,034,681
  5. Step 5: Solve for x
    x = 50,756,034,681/108,312
  6. Step 6: Final answer
    x = 468,609.52

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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.