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Finding the Third Proportional to 200.53 and 545.20

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Solution

The third proportional to 200.53 and 545.20 is: 1,482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.53 : 545.20 = 545.20 : x
  2. Step 2: Convert to fraction form
    200.53/545.20 = 545.20/x
  3. Step 3: Cross multiply
    200.53x = 545.20 × 545.20
  4. Step 4: Simplify right side
    200.53x = 297,246.45
  5. Step 5: Solve for x
    x = 297,246.45/200.53
  6. Step 6: Final answer
    x = 1,482.29

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.