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Finding the Third Proportional to 158,472.38 and 343,815

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Solution

The third proportional to 158,472.38 and 343,815 is: 745,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,472.38 : 343,815 = 343,815 : x
  2. Step 2: Convert to fraction form
    158,472.38/343,815 = 343,815/x
  3. Step 3: Cross multiply
    158,472.38x = 343,815 × 343,815
  4. Step 4: Simplify right side
    158,472.38x = 118,208,754,225
  5. Step 5: Solve for x
    x = 118,208,754,225/158,472.38
  6. Step 6: Final answer
    x = 745,926.56

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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.