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Finding the Third Proportional to 233.50 and 565.25

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Solution

The third proportional to 233.50 and 565.25 is: 1,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.50 : 565.25 = 565.25 : x
  2. Step 2: Convert to fraction form
    233.50/565.25 = 565.25/x
  3. Step 3: Cross multiply
    233.50x = 565.25 × 565.25
  4. Step 4: Simplify right side
    233.50x = 319,507.56
  5. Step 5: Solve for x
    x = 319,507.56/233.50
  6. Step 6: Final answer
    x = 1,368.34

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.