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Finding the Third Proportional to 145.13 and 233.30

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Solution

The third proportional to 145.13 and 233.30 is: 375.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.13 : 233.30 = 233.30 : x
  2. Step 2: Convert to fraction form
    145.13/233.30 = 233.30/x
  3. Step 3: Cross multiply
    145.13x = 233.30 × 233.30
  4. Step 4: Simplify right side
    145.13x = 54,427.43
  5. Step 5: Solve for x
    x = 54,427.43/145.13
  6. Step 6: Final answer
    x = 375.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.