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Finding the Third Proportional to 170,091 and 372,432

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Solution

The third proportional to 170,091 and 372,432 is: 815,478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,091 : 372,432 = 372,432 : x
  2. Step 2: Convert to fraction form
    170,091/372,432 = 372,432/x
  3. Step 3: Cross multiply
    170,091x = 372,432 × 372,432
  4. Step 4: Simplify right side
    170,091x = 138,705,594,624
  5. Step 5: Solve for x
    x = 138,705,594,624/170,091
  6. Step 6: Final answer
    x = 815,478.74

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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.