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Finding the Third Proportional to 125.30 and 229.24

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Solution

The third proportional to 125.30 and 229.24 is: 419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.30 : 229.24 = 229.24 : x
  2. Step 2: Convert to fraction form
    125.30/229.24 = 229.24/x
  3. Step 3: Cross multiply
    125.30x = 229.24 × 229.24
  4. Step 4: Simplify right side
    125.30x = 52,549.29
  5. Step 5: Solve for x
    x = 52,549.29/125.30
  6. Step 6: Final answer
    x = 419.40

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.