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Finding the Third Proportional to 145.97 and 337.92

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Solution

The third proportional to 145.97 and 337.92 is: 782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.97 : 337.92 = 337.92 : x
  2. Step 2: Convert to fraction form
    145.97/337.92 = 337.92/x
  3. Step 3: Cross multiply
    145.97x = 337.92 × 337.92
  4. Step 4: Simplify right side
    145.97x = 114,191.19
  5. Step 5: Solve for x
    x = 114,191.19/145.97
  6. Step 6: Final answer
    x = 782.30

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.