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Finding the Third Proportional to 158,133 and 252,919.50

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Solution

The third proportional to 158,133 and 252,919.50 is: 404,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,133 : 252,919.50 = 252,919.50 : x
  2. Step 2: Convert to fraction form
    158,133/252,919.50 = 252,919.50/x
  3. Step 3: Cross multiply
    158,133x = 252,919.50 × 252,919.50
  4. Step 4: Simplify right side
    158,133x = 63,968,273,480.25
  5. Step 5: Solve for x
    x = 63,968,273,480.25/158,133
  6. Step 6: Final answer
    x = 404,521.98

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.