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Finding the Third Proportional to 237.94 and 499.13

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Solution

The third proportional to 237.94 and 499.13 is: 1,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.94 : 499.13 = 499.13 : x
  2. Step 2: Convert to fraction form
    237.94/499.13 = 499.13/x
  3. Step 3: Cross multiply
    237.94x = 499.13 × 499.13
  4. Step 4: Simplify right side
    237.94x = 249,131.61
  5. Step 5: Solve for x
    x = 249,131.61/237.94
  6. Step 6: Final answer
    x = 1,047.05

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.