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Finding the Third Proportional to 158,249 and 248,768

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Solution

The third proportional to 158,249 and 248,768 is: 391,064.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,249 : 248,768 = 248,768 : x
  2. Step 2: Convert to fraction form
    158,249/248,768 = 248,768/x
  3. Step 3: Cross multiply
    158,249x = 248,768 × 248,768
  4. Step 4: Simplify right side
    158,249x = 61,885,517,824
  5. Step 5: Solve for x
    x = 61,885,517,824/158,249
  6. Step 6: Final answer
    x = 391,064.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.