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Finding the Third Proportional to 153.50 and 230.50

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Solution

The third proportional to 153.50 and 230.50 is: 346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.50 : 230.50 = 230.50 : x
  2. Step 2: Convert to fraction form
    153.50/230.50 = 230.50/x
  3. Step 3: Cross multiply
    153.50x = 230.50 × 230.50
  4. Step 4: Simplify right side
    153.50x = 53,130.25
  5. Step 5: Solve for x
    x = 53,130.25/153.50
  6. Step 6: Final answer
    x = 346.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.