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Finding the Third Proportional to 205,624.50 and 306,724.50

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Solution

The third proportional to 205,624.50 and 306,724.50 is: 457,532.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,624.50 : 306,724.50 = 306,724.50 : x
  2. Step 2: Convert to fraction form
    205,624.50/306,724.50 = 306,724.50/x
  3. Step 3: Cross multiply
    205,624.50x = 306,724.50 × 306,724.50
  4. Step 4: Simplify right side
    205,624.50x = 94,079,918,900.25
  5. Step 5: Solve for x
    x = 94,079,918,900.25/205,624.50
  6. Step 6: Final answer
    x = 457,532.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.