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Finding the Third Proportional to 160,445 and 246,636

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Solution

The third proportional to 160,445 and 246,636 is: 379,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,445 : 246,636 = 246,636 : x
  2. Step 2: Convert to fraction form
    160,445/246,636 = 246,636/x
  3. Step 3: Cross multiply
    160,445x = 246,636 × 246,636
  4. Step 4: Simplify right side
    160,445x = 60,829,316,496
  5. Step 5: Solve for x
    x = 60,829,316,496/160,445
  6. Step 6: Final answer
    x = 379,128.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.