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Finding the Third Proportional to 179,769 and 258,961.50

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Solution

The third proportional to 179,769 and 258,961.50 is: 373,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,769 : 258,961.50 = 258,961.50 : x
  2. Step 2: Convert to fraction form
    179,769/258,961.50 = 258,961.50/x
  3. Step 3: Cross multiply
    179,769x = 258,961.50 × 258,961.50
  4. Step 4: Simplify right side
    179,769x = 67,061,058,482.25
  5. Step 5: Solve for x
    x = 67,061,058,482.25/179,769
  6. Step 6: Final answer
    x = 373,040.17

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.