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Finding the Third Proportional to 242.25 and 352.50

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Solution

The third proportional to 242.25 and 352.50 is: 512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.25 : 352.50 = 352.50 : x
  2. Step 2: Convert to fraction form
    242.25/352.50 = 352.50/x
  3. Step 3: Cross multiply
    242.25x = 352.50 × 352.50
  4. Step 4: Simplify right side
    242.25x = 124,256.25
  5. Step 5: Solve for x
    x = 124,256.25/242.25
  6. Step 6: Final answer
    x = 512.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.