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Finding the Third Proportional to 170,196.19 and 231,256.69

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Solution

The third proportional to 170,196.19 and 231,256.69 is: 314,223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,196.19 : 231,256.69 = 231,256.69 : x
  2. Step 2: Convert to fraction form
    170,196.19/231,256.69 = 231,256.69/x
  3. Step 3: Cross multiply
    170,196.19x = 231,256.69 × 231,256.69
  4. Step 4: Simplify right side
    170,196.19x = 53,479,655,513.47
  5. Step 5: Solve for x
    x = 53,479,655,513.47/170,196.19
  6. Step 6: Final answer
    x = 314,223.58

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.