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Finding the Third Proportional to 131,382 and 289,008

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Solution

The third proportional to 131,382 and 289,008 is: 635,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,382 : 289,008 = 289,008 : x
  2. Step 2: Convert to fraction form
    131,382/289,008 = 289,008/x
  3. Step 3: Cross multiply
    131,382x = 289,008 × 289,008
  4. Step 4: Simplify right side
    131,382x = 83,525,624,064
  5. Step 5: Solve for x
    x = 83,525,624,064/131,382
  6. Step 6: Final answer
    x = 635,746.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.