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Finding the Third Proportional to 132,732 and 286,576.50

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Solution

The third proportional to 132,732 and 286,576.50 is: 618,736.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,732 : 286,576.50 = 286,576.50 : x
  2. Step 2: Convert to fraction form
    132,732/286,576.50 = 286,576.50/x
  3. Step 3: Cross multiply
    132,732x = 286,576.50 × 286,576.50
  4. Step 4: Simplify right side
    132,732x = 82,126,090,352.25
  5. Step 5: Solve for x
    x = 82,126,090,352.25/132,732
  6. Step 6: Final answer
    x = 618,736.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.