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Finding the Third Proportional to 131,248.13 and 196,831.69

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Solution

The third proportional to 131,248.13 and 196,831.69 is: 295,186.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,248.13 : 196,831.69 = 196,831.69 : x
  2. Step 2: Convert to fraction form
    131,248.13/196,831.69 = 196,831.69/x
  3. Step 3: Cross multiply
    131,248.13x = 196,831.69 × 196,831.69
  4. Step 4: Simplify right side
    131,248.13x = 38,742,713,204.10
  5. Step 5: Solve for x
    x = 38,742,713,204.10/131,248.13
  6. Step 6: Final answer
    x = 295,186.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.