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Finding the Third Proportional to 109,190 and 238,748

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Solution

The third proportional to 109,190 and 238,748 is: 522,031.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,190 : 238,748 = 238,748 : x
  2. Step 2: Convert to fraction form
    109,190/238,748 = 238,748/x
  3. Step 3: Cross multiply
    109,190x = 238,748 × 238,748
  4. Step 4: Simplify right side
    109,190x = 57,000,607,504
  5. Step 5: Solve for x
    x = 57,000,607,504/109,190
  6. Step 6: Final answer
    x = 522,031.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.