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Finding the Third Proportional to 133,776 and 278,568

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Solution

The third proportional to 133,776 and 278,568 is: 580,075.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,776 : 278,568 = 278,568 : x
  2. Step 2: Convert to fraction form
    133,776/278,568 = 278,568/x
  3. Step 3: Cross multiply
    133,776x = 278,568 × 278,568
  4. Step 4: Simplify right side
    133,776x = 77,600,130,624
  5. Step 5: Solve for x
    x = 77,600,130,624/133,776
  6. Step 6: Final answer
    x = 580,075.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.