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Finding the Third Proportional to 205,626.75 and 306,727.88

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Solution

The third proportional to 205,626.75 and 306,727.88 is: 457,537.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,626.75 : 306,727.88 = 306,727.88 : x
  2. Step 2: Convert to fraction form
    205,626.75/306,727.88 = 306,727.88/x
  3. Step 3: Cross multiply
    205,626.75x = 306,727.88 × 306,727.88
  4. Step 4: Simplify right side
    205,626.75x = 94,081,989,302.02
  5. Step 5: Solve for x
    x = 94,081,989,302.02/205,626.75
  6. Step 6: Final answer
    x = 457,537.70

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