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Finding the Third Proportional to 131,154 and 286,015.50

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Solution

The third proportional to 131,154 and 286,015.50 is: 623,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,154 : 286,015.50 = 286,015.50 : x
  2. Step 2: Convert to fraction form
    131,154/286,015.50 = 286,015.50/x
  3. Step 3: Cross multiply
    131,154x = 286,015.50 × 286,015.50
  4. Step 4: Simplify right side
    131,154x = 81,804,866,240.25
  5. Step 5: Solve for x
    x = 81,804,866,240.25/131,154
  6. Step 6: Final answer
    x = 623,731.39

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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.