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Finding the Third Proportional to 172,813.50 and 268,209

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Solution

The third proportional to 172,813.50 and 268,209 is: 416,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,813.50 : 268,209 = 268,209 : x
  2. Step 2: Convert to fraction form
    172,813.50/268,209 = 268,209/x
  3. Step 3: Cross multiply
    172,813.50x = 268,209 × 268,209
  4. Step 4: Simplify right side
    172,813.50x = 71,936,067,681
  5. Step 5: Solve for x
    x = 71,936,067,681/172,813.50
  6. Step 6: Final answer
    x = 416,264.17

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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.