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Finding the Third Proportional to 130,848 and 207,529

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Solution

The third proportional to 130,848 and 207,529 is: 329,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,848 : 207,529 = 207,529 : x
  2. Step 2: Convert to fraction form
    130,848/207,529 = 207,529/x
  3. Step 3: Cross multiply
    130,848x = 207,529 × 207,529
  4. Step 4: Simplify right side
    130,848x = 43,068,285,841
  5. Step 5: Solve for x
    x = 43,068,285,841/130,848
  6. Step 6: Final answer
    x = 329,147.45

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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.