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Finding the Third Proportional to 205,696.50 and 310,737.75

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Solution

The third proportional to 205,696.50 and 310,737.75 is: 469,419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,696.50 : 310,737.75 = 310,737.75 : x
  2. Step 2: Convert to fraction form
    205,696.50/310,737.75 = 310,737.75/x
  3. Step 3: Cross multiply
    205,696.50x = 310,737.75 × 310,737.75
  4. Step 4: Simplify right side
    205,696.50x = 96,557,949,275.06
  5. Step 5: Solve for x
    x = 96,557,949,275.06/205,696.50
  6. Step 6: Final answer
    x = 469,419.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.