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Finding the Third Proportional to 130,372 and 207,221

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Solution

The third proportional to 130,372 and 207,221 is: 329,369.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,372 : 207,221 = 207,221 : x
  2. Step 2: Convert to fraction form
    130,372/207,221 = 207,221/x
  3. Step 3: Cross multiply
    130,372x = 207,221 × 207,221
  4. Step 4: Simplify right side
    130,372x = 42,940,542,841
  5. Step 5: Solve for x
    x = 42,940,542,841/130,372
  6. Step 6: Final answer
    x = 329,369.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.