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Finding the Third Proportional to 134,152 and 217,265

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Solution

The third proportional to 134,152 and 217,265 is: 351,870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,152 : 217,265 = 217,265 : x
  2. Step 2: Convert to fraction form
    134,152/217,265 = 217,265/x
  3. Step 3: Cross multiply
    134,152x = 217,265 × 217,265
  4. Step 4: Simplify right side
    134,152x = 47,204,080,225
  5. Step 5: Solve for x
    x = 47,204,080,225/134,152
  6. Step 6: Final answer
    x = 351,870.12

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.