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Finding the Third Proportional to 233.34 and 497.16

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Solution

The third proportional to 233.34 and 497.16 is: 1,059.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.34 : 497.16 = 497.16 : x
  2. Step 2: Convert to fraction form
    233.34/497.16 = 497.16/x
  3. Step 3: Cross multiply
    233.34x = 497.16 × 497.16
  4. Step 4: Simplify right side
    233.34x = 247,164.34
  5. Step 5: Solve for x
    x = 247,164.34/233.34
  6. Step 6: Final answer
    x = 1,059.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.