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Finding the Third Proportional to 313.75 and 515.88

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Solution

The third proportional to 313.75 and 515.88 is: 848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.75 : 515.88 = 515.88 : x
  2. Step 2: Convert to fraction form
    313.75/515.88 = 515.88/x
  3. Step 3: Cross multiply
    313.75x = 515.88 × 515.88
  4. Step 4: Simplify right side
    313.75x = 266,127.02
  5. Step 5: Solve for x
    x = 266,127.02/313.75
  6. Step 6: Final answer
    x = 848.21

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.