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Finding the Third Proportional to 133,831.25 and 197,049.50

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Solution

The third proportional to 133,831.25 and 197,049.50 is: 290,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,831.25 : 197,049.50 = 197,049.50 : x
  2. Step 2: Convert to fraction form
    133,831.25/197,049.50 = 197,049.50/x
  3. Step 3: Cross multiply
    133,831.25x = 197,049.50 × 197,049.50
  4. Step 4: Simplify right side
    133,831.25x = 38,828,505,450.25
  5. Step 5: Solve for x
    x = 38,828,505,450.25/133,831.25
  6. Step 6: Final answer
    x = 290,130.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.