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Finding the Third Proportional to 233.51 and 361.65

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Solution

The third proportional to 233.51 and 361.65 is: 560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.51 : 361.65 = 361.65 : x
  2. Step 2: Convert to fraction form
    233.51/361.65 = 361.65/x
  3. Step 3: Cross multiply
    233.51x = 361.65 × 361.65
  4. Step 4: Simplify right side
    233.51x = 130,792.42
  5. Step 5: Solve for x
    x = 130,792.42/233.51
  6. Step 6: Final answer
    x = 560.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.