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Finding the Third Proportional to 132,347.25 and 286,493.63

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Solution

The third proportional to 132,347.25 and 286,493.63 is: 620,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,347.25 : 286,493.63 = 286,493.63 : x
  2. Step 2: Convert to fraction form
    132,347.25/286,493.63 = 286,493.63/x
  3. Step 3: Cross multiply
    132,347.25x = 286,493.63 × 286,493.63
  4. Step 4: Simplify right side
    132,347.25x = 82,078,597,165.64
  5. Step 5: Solve for x
    x = 82,078,597,165.64/132,347.25
  6. Step 6: Final answer
    x = 620,176.07

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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.