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Finding the Third Proportional to 170,091 and 372,501

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Solution

The third proportional to 170,091 and 372,501 is: 815,780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,091 : 372,501 = 372,501 : x
  2. Step 2: Convert to fraction form
    170,091/372,501 = 372,501/x
  3. Step 3: Cross multiply
    170,091x = 372,501 × 372,501
  4. Step 4: Simplify right side
    170,091x = 138,756,995,001
  5. Step 5: Solve for x
    x = 138,756,995,001/170,091
  6. Step 6: Final answer
    x = 815,780.93

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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.