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Finding the Third Proportional to 108,711 and 233,497

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Solution

The third proportional to 108,711 and 233,497 is: 501,521.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,711 : 233,497 = 233,497 : x
  2. Step 2: Convert to fraction form
    108,711/233,497 = 233,497/x
  3. Step 3: Cross multiply
    108,711x = 233,497 × 233,497
  4. Step 4: Simplify right side
    108,711x = 54,520,849,009
  5. Step 5: Solve for x
    x = 54,520,849,009/108,711
  6. Step 6: Final answer
    x = 501,521.00

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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.