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Finding the Third Proportional to 131,412 and 205,868.50

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Solution

The third proportional to 131,412 and 205,868.50 is: 322,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,412 : 205,868.50 = 205,868.50 : x
  2. Step 2: Convert to fraction form
    131,412/205,868.50 = 205,868.50/x
  3. Step 3: Cross multiply
    131,412x = 205,868.50 × 205,868.50
  4. Step 4: Simplify right side
    131,412x = 42,381,839,292.25
  5. Step 5: Solve for x
    x = 42,381,839,292.25/131,412
  6. Step 6: Final answer
    x = 322,511.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.