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Finding the Third Proportional to 158,701 and 210,619.50

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Solution

The third proportional to 158,701 and 210,619.50 is: 279,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,701 : 210,619.50 = 210,619.50 : x
  2. Step 2: Convert to fraction form
    158,701/210,619.50 = 210,619.50/x
  3. Step 3: Cross multiply
    158,701x = 210,619.50 × 210,619.50
  4. Step 4: Simplify right side
    158,701x = 44,360,573,780.25
  5. Step 5: Solve for x
    x = 44,360,573,780.25/158,701
  6. Step 6: Final answer
    x = 279,522.96

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.