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Finding the Third Proportional to 242 and 653.50

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Solution

The third proportional to 242 and 653.50 is: 1,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242 : 653.50 = 653.50 : x
  2. Step 2: Convert to fraction form
    242/653.50 = 653.50/x
  3. Step 3: Cross multiply
    242x = 653.50 × 653.50
  4. Step 4: Simplify right side
    242x = 427,062.25
  5. Step 5: Solve for x
    x = 427,062.25/242
  6. Step 6: Final answer
    x = 1,764.72

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.