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Finding the Third Proportional to 235.41 and 499.29

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Solution

The third proportional to 235.41 and 499.29 is: 1,058.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.41 : 499.29 = 499.29 : x
  2. Step 2: Convert to fraction form
    235.41/499.29 = 499.29/x
  3. Step 3: Cross multiply
    235.41x = 499.29 × 499.29
  4. Step 4: Simplify right side
    235.41x = 249,289.57
  5. Step 5: Solve for x
    x = 249,289.57/235.41
  6. Step 6: Final answer
    x = 1,058.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.