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Finding the Third Proportional to 132,964 and 286,800

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Solution

The third proportional to 132,964 and 286,800 is: 618,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,964 : 286,800 = 286,800 : x
  2. Step 2: Convert to fraction form
    132,964/286,800 = 286,800/x
  3. Step 3: Cross multiply
    132,964x = 286,800 × 286,800
  4. Step 4: Simplify right side
    132,964x = 82,254,240,000
  5. Step 5: Solve for x
    x = 82,254,240,000/132,964
  6. Step 6: Final answer
    x = 618,620.38

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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.