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Finding the Third Proportional to 132,896 and 197,440

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Solution

The third proportional to 132,896 and 197,440 is: 293,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,896 : 197,440 = 197,440 : x
  2. Step 2: Convert to fraction form
    132,896/197,440 = 197,440/x
  3. Step 3: Cross multiply
    132,896x = 197,440 × 197,440
  4. Step 4: Simplify right side
    132,896x = 38,982,553,600
  5. Step 5: Solve for x
    x = 38,982,553,600/132,896
  6. Step 6: Final answer
    x = 293,331.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.