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Finding the Third Proportional to 106,820 and 247,282

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Solution

The third proportional to 106,820 and 247,282 is: 572,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,820 : 247,282 = 247,282 : x
  2. Step 2: Convert to fraction form
    106,820/247,282 = 247,282/x
  3. Step 3: Cross multiply
    106,820x = 247,282 × 247,282
  4. Step 4: Simplify right side
    106,820x = 61,148,387,524
  5. Step 5: Solve for x
    x = 61,148,387,524/106,820
  6. Step 6: Final answer
    x = 572,443.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.