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Finding the Third Proportional to 145.55 and 233.09

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Solution

The third proportional to 145.55 and 233.09 is: 373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.55 : 233.09 = 233.09 : x
  2. Step 2: Convert to fraction form
    145.55/233.09 = 233.09/x
  3. Step 3: Cross multiply
    145.55x = 233.09 × 233.09
  4. Step 4: Simplify right side
    145.55x = 54,329.05
  5. Step 5: Solve for x
    x = 54,329.05/145.55
  6. Step 6: Final answer
    x = 373.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.