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Finding the Third Proportional to 131,262 and 286,281.75

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Solution

The third proportional to 131,262 and 286,281.75 is: 624,379.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,262 : 286,281.75 = 286,281.75 : x
  2. Step 2: Convert to fraction form
    131,262/286,281.75 = 286,281.75/x
  3. Step 3: Cross multiply
    131,262x = 286,281.75 × 286,281.75
  4. Step 4: Simplify right side
    131,262x = 81,957,240,383.06
  5. Step 5: Solve for x
    x = 81,957,240,383.06/131,262
  6. Step 6: Final answer
    x = 624,379.03

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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.