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Finding the Third Proportional to 107,566 and 236,362

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Solution

The third proportional to 107,566 and 236,362 is: 519,374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,566 : 236,362 = 236,362 : x
  2. Step 2: Convert to fraction form
    107,566/236,362 = 236,362/x
  3. Step 3: Cross multiply
    107,566x = 236,362 × 236,362
  4. Step 4: Simplify right side
    107,566x = 55,866,995,044
  5. Step 5: Solve for x
    x = 55,866,995,044/107,566
  6. Step 6: Final answer
    x = 519,374.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.