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Finding the Third Proportional to 164,165.06 and 359,468.72

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Solution

The third proportional to 164,165.06 and 359,468.72 is: 787,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,165.06 : 359,468.72 = 359,468.72 : x
  2. Step 2: Convert to fraction form
    164,165.06/359,468.72 = 359,468.72/x
  3. Step 3: Cross multiply
    164,165.06x = 359,468.72 × 359,468.72
  4. Step 4: Simplify right side
    164,165.06x = 129,217,759,759.77
  5. Step 5: Solve for x
    x = 129,217,759,759.77/164,165.06
  6. Step 6: Final answer
    x = 787,120.95

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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.