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Finding the Third Proportional to 129,384 and 197,532

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Solution

The third proportional to 129,384 and 197,532 is: 301,574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,384 : 197,532 = 197,532 : x
  2. Step 2: Convert to fraction form
    129,384/197,532 = 197,532/x
  3. Step 3: Cross multiply
    129,384x = 197,532 × 197,532
  4. Step 4: Simplify right side
    129,384x = 39,018,891,024
  5. Step 5: Solve for x
    x = 39,018,891,024/129,384
  6. Step 6: Final answer
    x = 301,574.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.