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Finding the Third Proportional to 148.13 and 328.13

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Solution

The third proportional to 148.13 and 328.13 is: 726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.13 : 328.13 = 328.13 : x
  2. Step 2: Convert to fraction form
    148.13/328.13 = 328.13/x
  3. Step 3: Cross multiply
    148.13x = 328.13 × 328.13
  4. Step 4: Simplify right side
    148.13x = 107,666.02
  5. Step 5: Solve for x
    x = 107,666.02/148.13
  6. Step 6: Final answer
    x = 726.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.