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Finding the Third Proportional to 70,224 and 151,808

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Solution

The third proportional to 70,224 and 151,808 is: 328,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,224 : 151,808 = 151,808 : x
  2. Step 2: Convert to fraction form
    70,224/151,808 = 151,808/x
  3. Step 3: Cross multiply
    70,224x = 151,808 × 151,808
  4. Step 4: Simplify right side
    70,224x = 23,045,668,864
  5. Step 5: Solve for x
    x = 23,045,668,864/70,224
  6. Step 6: Final answer
    x = 328,173.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.