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Finding the Third Proportional to 150,136 and 329,808

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Solution

The third proportional to 150,136 and 329,808 is: 724,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,136 : 329,808 = 329,808 : x
  2. Step 2: Convert to fraction form
    150,136/329,808 = 329,808/x
  3. Step 3: Cross multiply
    150,136x = 329,808 × 329,808
  4. Step 4: Simplify right side
    150,136x = 108,773,316,864
  5. Step 5: Solve for x
    x = 108,773,316,864/150,136
  6. Step 6: Final answer
    x = 724,498.57

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.