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Finding the Third Proportional to 132,406 and 294,235

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Solution

The third proportional to 132,406 and 294,235 is: 653,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,406 : 294,235 = 294,235 : x
  2. Step 2: Convert to fraction form
    132,406/294,235 = 294,235/x
  3. Step 3: Cross multiply
    132,406x = 294,235 × 294,235
  4. Step 4: Simplify right side
    132,406x = 86,574,235,225
  5. Step 5: Solve for x
    x = 86,574,235,225/132,406
  6. Step 6: Final answer
    x = 653,854.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.