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Finding the Third Proportional to 131,263 and 286,282.50

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Solution

The third proportional to 131,263 and 286,282.50 is: 624,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,263 : 286,282.50 = 286,282.50 : x
  2. Step 2: Convert to fraction form
    131,263/286,282.50 = 286,282.50/x
  3. Step 3: Cross multiply
    131,263x = 286,282.50 × 286,282.50
  4. Step 4: Simplify right side
    131,263x = 81,957,669,806.25
  5. Step 5: Solve for x
    x = 81,957,669,806.25/131,263
  6. Step 6: Final answer
    x = 624,377.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.