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Finding the Third Proportional to 164,155.75 and 359,452

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Solution

The third proportional to 164,155.75 and 359,452 is: 787,092.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,155.75 : 359,452 = 359,452 : x
  2. Step 2: Convert to fraction form
    164,155.75/359,452 = 359,452/x
  3. Step 3: Cross multiply
    164,155.75x = 359,452 × 359,452
  4. Step 4: Simplify right side
    164,155.75x = 129,205,740,304
  5. Step 5: Solve for x
    x = 129,205,740,304/164,155.75
  6. Step 6: Final answer
    x = 787,092.38

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