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Finding the Third Proportional to 132,316.50 and 286,867.50

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Solution

The third proportional to 132,316.50 and 286,867.50 is: 621,940.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,316.50 : 286,867.50 = 286,867.50 : x
  2. Step 2: Convert to fraction form
    132,316.50/286,867.50 = 286,867.50/x
  3. Step 3: Cross multiply
    132,316.50x = 286,867.50 × 286,867.50
  4. Step 4: Simplify right side
    132,316.50x = 82,292,962,556.25
  5. Step 5: Solve for x
    x = 82,292,962,556.25/132,316.50
  6. Step 6: Final answer
    x = 621,940.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.