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Finding the Third Proportional to 133,258.92 and 211,831.45

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Solution

The third proportional to 133,258.92 and 211,831.45 is: 336,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,258.92 : 211,831.45 = 211,831.45 : x
  2. Step 2: Convert to fraction form
    133,258.92/211,831.45 = 211,831.45/x
  3. Step 3: Cross multiply
    133,258.92x = 211,831.45 × 211,831.45
  4. Step 4: Simplify right side
    133,258.92x = 44,872,564,533.05
  5. Step 5: Solve for x
    x = 44,872,564,533.05/133,258.92
  6. Step 6: Final answer
    x = 336,732.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.