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Finding the Third Proportional to 158,247 and 248,764.50

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Solution

The third proportional to 158,247 and 248,764.50 is: 391,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,247 : 248,764.50 = 248,764.50 : x
  2. Step 2: Convert to fraction form
    158,247/248,764.50 = 248,764.50/x
  3. Step 3: Cross multiply
    158,247x = 248,764.50 × 248,764.50
  4. Step 4: Simplify right side
    158,247x = 61,883,776,460.25
  5. Step 5: Solve for x
    x = 61,883,776,460.25/158,247
  6. Step 6: Final answer
    x = 391,058.13

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