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Finding the Third Proportional to 160,881.19 and 236,332.69

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Solution

The third proportional to 160,881.19 and 236,332.69 is: 347,170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,881.19 : 236,332.69 = 236,332.69 : x
  2. Step 2: Convert to fraction form
    160,881.19/236,332.69 = 236,332.69/x
  3. Step 3: Cross multiply
    160,881.19x = 236,332.69 × 236,332.69
  4. Step 4: Simplify right side
    160,881.19x = 55,853,139,180.97
  5. Step 5: Solve for x
    x = 55,853,139,180.97/160,881.19
  6. Step 6: Final answer
    x = 347,170.11

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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.