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Finding the Third Proportional to 157.50 and 207.19

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Solution

The third proportional to 157.50 and 207.19 is: 272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.50 : 207.19 = 207.19 : x
  2. Step 2: Convert to fraction form
    157.50/207.19 = 207.19/x
  3. Step 3: Cross multiply
    157.50x = 207.19 × 207.19
  4. Step 4: Simplify right side
    157.50x = 42,926.66
  5. Step 5: Solve for x
    x = 42,926.66/157.50
  6. Step 6: Final answer
    x = 272.55

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.