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Finding the Third Proportional to 108,712 and 233,492

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Solution

The third proportional to 108,712 and 233,492 is: 501,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,712 : 233,492 = 233,492 : x
  2. Step 2: Convert to fraction form
    108,712/233,492 = 233,492/x
  3. Step 3: Cross multiply
    108,712x = 233,492 × 233,492
  4. Step 4: Simplify right side
    108,712x = 54,518,514,064
  5. Step 5: Solve for x
    x = 54,518,514,064/108,712
  6. Step 6: Final answer
    x = 501,494.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.