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Finding the Third Proportional to 202.43 and 432.60

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Solution

The third proportional to 202.43 and 432.60 is: 924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.43 : 432.60 = 432.60 : x
  2. Step 2: Convert to fraction form
    202.43/432.60 = 432.60/x
  3. Step 3: Cross multiply
    202.43x = 432.60 × 432.60
  4. Step 4: Simplify right side
    202.43x = 187,140.73
  5. Step 5: Solve for x
    x = 187,140.73/202.43
  6. Step 6: Final answer
    x = 924.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.