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Finding the Third Proportional to 166,831.88 and 258,541.88

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Solution

The third proportional to 166,831.88 and 258,541.88 is: 400,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,831.88 : 258,541.88 = 258,541.88 : x
  2. Step 2: Convert to fraction form
    166,831.88/258,541.88 = 258,541.88/x
  3. Step 3: Cross multiply
    166,831.88x = 258,541.88 × 258,541.88
  4. Step 4: Simplify right side
    166,831.88x = 66,843,901,128.52
  5. Step 5: Solve for x
    x = 66,843,901,128.52/166,831.88
  6. Step 6: Final answer
    x = 400,666.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.