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Finding the Third Proportional to 346.50 and 502.88

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Solution

The third proportional to 346.50 and 502.88 is: 729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.50 : 502.88 = 502.88 : x
  2. Step 2: Convert to fraction form
    346.50/502.88 = 502.88/x
  3. Step 3: Cross multiply
    346.50x = 502.88 × 502.88
  4. Step 4: Simplify right side
    346.50x = 252,883.27
  5. Step 5: Solve for x
    x = 252,883.27/346.50
  6. Step 6: Final answer
    x = 729.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.