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Finding the Third Proportional to 109,280 and 238,418

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Solution

The third proportional to 109,280 and 238,418 is: 520,160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,280 : 238,418 = 238,418 : x
  2. Step 2: Convert to fraction form
    109,280/238,418 = 238,418/x
  3. Step 3: Cross multiply
    109,280x = 238,418 × 238,418
  4. Step 4: Simplify right side
    109,280x = 56,843,142,724
  5. Step 5: Solve for x
    x = 56,843,142,724/109,280
  6. Step 6: Final answer
    x = 520,160.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.