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Finding the Third Proportional to 201,050.30 and 306,292.22

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Solution

The third proportional to 201,050.30 and 306,292.22 is: 466,624.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,050.30 : 306,292.22 = 306,292.22 : x
  2. Step 2: Convert to fraction form
    201,050.30/306,292.22 = 306,292.22/x
  3. Step 3: Cross multiply
    201,050.30x = 306,292.22 × 306,292.22
  4. Step 4: Simplify right side
    201,050.30x = 93,814,923,266.80
  5. Step 5: Solve for x
    x = 93,814,923,266.80/201,050.30
  6. Step 6: Final answer
    x = 466,624.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.