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Finding the Third Proportional to 157,677 and 244,806

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Solution

The third proportional to 157,677 and 244,806 is: 380,080.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,677 : 244,806 = 244,806 : x
  2. Step 2: Convert to fraction form
    157,677/244,806 = 244,806/x
  3. Step 3: Cross multiply
    157,677x = 244,806 × 244,806
  4. Step 4: Simplify right side
    157,677x = 59,929,977,636
  5. Step 5: Solve for x
    x = 59,929,977,636/157,677
  6. Step 6: Final answer
    x = 380,080.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.