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Finding the Third Proportional to 77,926.50 and 170,433

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Solution

The third proportional to 77,926.50 and 170,433 is: 372,753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,926.50 : 170,433 = 170,433 : x
  2. Step 2: Convert to fraction form
    77,926.50/170,433 = 170,433/x
  3. Step 3: Cross multiply
    77,926.50x = 170,433 × 170,433
  4. Step 4: Simplify right side
    77,926.50x = 29,047,407,489
  5. Step 5: Solve for x
    x = 29,047,407,489/77,926.50
  6. Step 6: Final answer
    x = 372,753.91

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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.