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Finding the Third Proportional to 160,802 and 236,385

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Solution

The third proportional to 160,802 and 236,385 is: 347,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,802 : 236,385 = 236,385 : x
  2. Step 2: Convert to fraction form
    160,802/236,385 = 236,385/x
  3. Step 3: Cross multiply
    160,802x = 236,385 × 236,385
  4. Step 4: Simplify right side
    160,802x = 55,877,868,225
  5. Step 5: Solve for x
    x = 55,877,868,225/160,802
  6. Step 6: Final answer
    x = 347,494.86

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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.