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Finding the Third Proportional to 132,298 and 289,434

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Solution

The third proportional to 132,298 and 289,434 is: 633,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,298 : 289,434 = 289,434 : x
  2. Step 2: Convert to fraction form
    132,298/289,434 = 289,434/x
  3. Step 3: Cross multiply
    132,298x = 289,434 × 289,434
  4. Step 4: Simplify right side
    132,298x = 83,772,040,356
  5. Step 5: Solve for x
    x = 83,772,040,356/132,298
  6. Step 6: Final answer
    x = 633,207.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.