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Finding the Third Proportional to 97.50 and 212.50

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Solution

The third proportional to 97.50 and 212.50 is: 463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.50 : 212.50 = 212.50 : x
  2. Step 2: Convert to fraction form
    97.50/212.50 = 212.50/x
  3. Step 3: Cross multiply
    97.50x = 212.50 × 212.50
  4. Step 4: Simplify right side
    97.50x = 45,156.25
  5. Step 5: Solve for x
    x = 45,156.25/97.50
  6. Step 6: Final answer
    x = 463.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.