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Finding the Third Proportional to 130,883 and 207,584

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Solution

The third proportional to 130,883 and 207,584 is: 329,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,883 : 207,584 = 207,584 : x
  2. Step 2: Convert to fraction form
    130,883/207,584 = 207,584/x
  3. Step 3: Cross multiply
    130,883x = 207,584 × 207,584
  4. Step 4: Simplify right side
    130,883x = 43,091,117,056
  5. Step 5: Solve for x
    x = 43,091,117,056/130,883
  6. Step 6: Final answer
    x = 329,233.87

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