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Finding the Third Proportional to 205,722.75 and 272,972.25

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Solution

The third proportional to 205,722.75 and 272,972.25 is: 362,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,722.75 : 272,972.25 = 272,972.25 : x
  2. Step 2: Convert to fraction form
    205,722.75/272,972.25 = 272,972.25/x
  3. Step 3: Cross multiply
    205,722.75x = 272,972.25 × 272,972.25
  4. Step 4: Simplify right side
    205,722.75x = 74,513,849,270.06
  5. Step 5: Solve for x
    x = 74,513,849,270.06/205,722.75
  6. Step 6: Final answer
    x = 362,205.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.