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Finding the Third Proportional to 204,347.81 and 306,590.06

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Solution

The third proportional to 204,347.81 and 306,590.06 is: 459,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,347.81 : 306,590.06 = 306,590.06 : x
  2. Step 2: Convert to fraction form
    204,347.81/306,590.06 = 306,590.06/x
  3. Step 3: Cross multiply
    204,347.81x = 306,590.06 × 306,590.06
  4. Step 4: Simplify right side
    204,347.81x = 93,997,466,423.75
  5. Step 5: Solve for x
    x = 93,997,466,423.75/204,347.81
  6. Step 6: Final answer
    x = 459,987.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.