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Finding the Third Proportional to 115,776 and 240,768

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Solution

The third proportional to 115,776 and 240,768 is: 500,701.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,776 : 240,768 = 240,768 : x
  2. Step 2: Convert to fraction form
    115,776/240,768 = 240,768/x
  3. Step 3: Cross multiply
    115,776x = 240,768 × 240,768
  4. Step 4: Simplify right side
    115,776x = 57,969,229,824
  5. Step 5: Solve for x
    x = 57,969,229,824/115,776
  6. Step 6: Final answer
    x = 500,701.61

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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.