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Finding the Third Proportional to 148.71 and 322.95

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Solution

The third proportional to 148.71 and 322.95 is: 701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.71 : 322.95 = 322.95 : x
  2. Step 2: Convert to fraction form
    148.71/322.95 = 322.95/x
  3. Step 3: Cross multiply
    148.71x = 322.95 × 322.95
  4. Step 4: Simplify right side
    148.71x = 104,293.67
  5. Step 5: Solve for x
    x = 104,293.67/148.71
  6. Step 6: Final answer
    x = 701.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.