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Finding the Third Proportional to 147,374 and 300,167.38

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Solution

The third proportional to 147,374 and 300,167.38 is: 611,372.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,374 : 300,167.38 = 300,167.38 : x
  2. Step 2: Convert to fraction form
    147,374/300,167.38 = 300,167.38/x
  3. Step 3: Cross multiply
    147,374x = 300,167.38 × 300,167.38
  4. Step 4: Simplify right side
    147,374x = 90,100,453,014.39
  5. Step 5: Solve for x
    x = 90,100,453,014.39/147,374
  6. Step 6: Final answer
    x = 611,372.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.