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Finding the Third Proportional to 150,776 and 317,048

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Solution

The third proportional to 150,776 and 317,048 is: 666,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,776 : 317,048 = 317,048 : x
  2. Step 2: Convert to fraction form
    150,776/317,048 = 317,048/x
  3. Step 3: Cross multiply
    150,776x = 317,048 × 317,048
  4. Step 4: Simplify right side
    150,776x = 100,519,434,304
  5. Step 5: Solve for x
    x = 100,519,434,304/150,776
  6. Step 6: Final answer
    x = 666,680.60

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.