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Finding the Third Proportional to 160,797.38 and 236,381.63

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Solution

The third proportional to 160,797.38 and 236,381.63 is: 347,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,797.38 : 236,381.63 = 236,381.63 : x
  2. Step 2: Convert to fraction form
    160,797.38/236,381.63 = 236,381.63/x
  3. Step 3: Cross multiply
    160,797.38x = 236,381.63 × 236,381.63
  4. Step 4: Simplify right side
    160,797.38x = 55,876,272,637.64
  5. Step 5: Solve for x
    x = 55,876,272,637.64/160,797.38
  6. Step 6: Final answer
    x = 347,494.93

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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.