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Finding the Third Proportional to 70,696.13 and 152,462.25

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Solution

The third proportional to 70,696.13 and 152,462.25 is: 328,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,696.13 : 152,462.25 = 152,462.25 : x
  2. Step 2: Convert to fraction form
    70,696.13/152,462.25 = 152,462.25/x
  3. Step 3: Cross multiply
    70,696.13x = 152,462.25 × 152,462.25
  4. Step 4: Simplify right side
    70,696.13x = 23,244,737,675.06
  5. Step 5: Solve for x
    x = 23,244,737,675.06/70,696.13
  6. Step 6: Final answer
    x = 328,797.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.