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Finding the Third Proportional to 134,543 and 208,376

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Solution

The third proportional to 134,543 and 208,376 is: 322,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,543 : 208,376 = 208,376 : x
  2. Step 2: Convert to fraction form
    134,543/208,376 = 208,376/x
  3. Step 3: Cross multiply
    134,543x = 208,376 × 208,376
  4. Step 4: Simplify right side
    134,543x = 43,420,557,376
  5. Step 5: Solve for x
    x = 43,420,557,376/134,543
  6. Step 6: Final answer
    x = 322,726.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.