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Finding the Third Proportional to 150,842 and 297,877

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Solution

The third proportional to 150,842 and 297,877 is: 588,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,842 : 297,877 = 297,877 : x
  2. Step 2: Convert to fraction form
    150,842/297,877 = 297,877/x
  3. Step 3: Cross multiply
    150,842x = 297,877 × 297,877
  4. Step 4: Simplify right side
    150,842x = 88,730,707,129
  5. Step 5: Solve for x
    x = 88,730,707,129/150,842
  6. Step 6: Final answer
    x = 588,236.08

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.