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Finding the Third Proportional to 130,961 and 282,790

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Solution

The third proportional to 130,961 and 282,790 is: 610,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,961 : 282,790 = 282,790 : x
  2. Step 2: Convert to fraction form
    130,961/282,790 = 282,790/x
  3. Step 3: Cross multiply
    130,961x = 282,790 × 282,790
  4. Step 4: Simplify right side
    130,961x = 79,970,184,100
  5. Step 5: Solve for x
    x = 79,970,184,100/130,961
  6. Step 6: Final answer
    x = 610,641.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.