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Finding the Third Proportional to 242.63 and 346.88

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Solution

The third proportional to 242.63 and 346.88 is: 495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.63 : 346.88 = 346.88 : x
  2. Step 2: Convert to fraction form
    242.63/346.88 = 346.88/x
  3. Step 3: Cross multiply
    242.63x = 346.88 × 346.88
  4. Step 4: Simplify right side
    242.63x = 120,322.27
  5. Step 5: Solve for x
    x = 120,322.27/242.63
  6. Step 6: Final answer
    x = 495.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.