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Finding the Third Proportional to 132,829.50 and 286,650

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Solution

The third proportional to 132,829.50 and 286,650 is: 618,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,829.50 : 286,650 = 286,650 : x
  2. Step 2: Convert to fraction form
    132,829.50/286,650 = 286,650/x
  3. Step 3: Cross multiply
    132,829.50x = 286,650 × 286,650
  4. Step 4: Simplify right side
    132,829.50x = 82,168,222,500
  5. Step 5: Solve for x
    x = 82,168,222,500/132,829.50
  6. Step 6: Final answer
    x = 618,599.20

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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.