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Finding the Third Proportional to 146,127 and 319,632

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Solution

The third proportional to 146,127 and 319,632 is: 699,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,127 : 319,632 = 319,632 : x
  2. Step 2: Convert to fraction form
    146,127/319,632 = 319,632/x
  3. Step 3: Cross multiply
    146,127x = 319,632 × 319,632
  4. Step 4: Simplify right side
    146,127x = 102,164,615,424
  5. Step 5: Solve for x
    x = 102,164,615,424/146,127
  6. Step 6: Final answer
    x = 699,149.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.