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Finding the Third Proportional to 153,938 and 245,910

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Solution

The third proportional to 153,938 and 245,910 is: 392,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,938 : 245,910 = 245,910 : x
  2. Step 2: Convert to fraction form
    153,938/245,910 = 245,910/x
  3. Step 3: Cross multiply
    153,938x = 245,910 × 245,910
  4. Step 4: Simplify right side
    153,938x = 60,471,728,100
  5. Step 5: Solve for x
    x = 60,471,728,100/153,938
  6. Step 6: Final answer
    x = 392,831.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.