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Finding the Third Proportional to 200,722.50 and 272,470.50

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Solution

The third proportional to 200,722.50 and 272,470.50 is: 369,864.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,722.50 : 272,470.50 = 272,470.50 : x
  2. Step 2: Convert to fraction form
    200,722.50/272,470.50 = 272,470.50/x
  3. Step 3: Cross multiply
    200,722.50x = 272,470.50 × 272,470.50
  4. Step 4: Simplify right side
    200,722.50x = 74,240,173,370.25
  5. Step 5: Solve for x
    x = 74,240,173,370.25/200,722.50
  6. Step 6: Final answer
    x = 369,864.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.