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Finding the Third Proportional to 160,624 and 235,174

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Solution

The third proportional to 160,624 and 235,174 is: 344,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,624 : 235,174 = 235,174 : x
  2. Step 2: Convert to fraction form
    160,624/235,174 = 235,174/x
  3. Step 3: Cross multiply
    160,624x = 235,174 × 235,174
  4. Step 4: Simplify right side
    160,624x = 55,306,810,276
  5. Step 5: Solve for x
    x = 55,306,810,276/160,624
  6. Step 6: Final answer
    x = 344,324.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.