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Finding the Third Proportional to 374.25 and 508.13

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Solution

The third proportional to 374.25 and 508.13 is: 689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.25 : 508.13 = 508.13 : x
  2. Step 2: Convert to fraction form
    374.25/508.13 = 508.13/x
  3. Step 3: Cross multiply
    374.25x = 508.13 × 508.13
  4. Step 4: Simplify right side
    374.25x = 258,191.02
  5. Step 5: Solve for x
    x = 258,191.02/374.25
  6. Step 6: Final answer
    x = 689.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.