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Finding the Third Proportional to 147,912 and 323,472

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Solution

The third proportional to 147,912 and 323,472 is: 707,408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,912 : 323,472 = 323,472 : x
  2. Step 2: Convert to fraction form
    147,912/323,472 = 323,472/x
  3. Step 3: Cross multiply
    147,912x = 323,472 × 323,472
  4. Step 4: Simplify right side
    147,912x = 104,634,134,784
  5. Step 5: Solve for x
    x = 104,634,134,784/147,912
  6. Step 6: Final answer
    x = 707,408.02

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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.