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Finding the Third Proportional to 179,163 and 258,988.50

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Solution

The third proportional to 179,163 and 258,988.50 is: 374,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,163 : 258,988.50 = 258,988.50 : x
  2. Step 2: Convert to fraction form
    179,163/258,988.50 = 258,988.50/x
  3. Step 3: Cross multiply
    179,163x = 258,988.50 × 258,988.50
  4. Step 4: Simplify right side
    179,163x = 67,075,043,132.25
  5. Step 5: Solve for x
    x = 67,075,043,132.25/179,163
  6. Step 6: Final answer
    x = 374,380.00

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.