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Finding the Third Proportional to 142,371 and 291,849.75

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Solution

The third proportional to 142,371 and 291,849.75 is: 598,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,371 : 291,849.75 = 291,849.75 : x
  2. Step 2: Convert to fraction form
    142,371/291,849.75 = 291,849.75/x
  3. Step 3: Cross multiply
    142,371x = 291,849.75 × 291,849.75
  4. Step 4: Simplify right side
    142,371x = 85,176,276,575.06
  5. Step 5: Solve for x
    x = 85,176,276,575.06/142,371
  6. Step 6: Final answer
    x = 598,269.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.