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Finding the Third Proportional to 164,175.13 and 359,489.38

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Solution

The third proportional to 164,175.13 and 359,489.38 is: 787,163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,175.13 : 359,489.38 = 359,489.38 : x
  2. Step 2: Convert to fraction form
    164,175.13/359,489.38 = 359,489.38/x
  3. Step 3: Cross multiply
    164,175.13x = 359,489.38 × 359,489.38
  4. Step 4: Simplify right side
    164,175.13x = 129,232,610,737.89
  5. Step 5: Solve for x
    x = 129,232,610,737.89/164,175.13
  6. Step 6: Final answer
    x = 787,163.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.