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Finding the Third Proportional to 150,780 and 317,058

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Solution

The third proportional to 150,780 and 317,058 is: 666,704.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,780 : 317,058 = 317,058 : x
  2. Step 2: Convert to fraction form
    150,780/317,058 = 317,058/x
  3. Step 3: Cross multiply
    150,780x = 317,058 × 317,058
  4. Step 4: Simplify right side
    150,780x = 100,525,775,364
  5. Step 5: Solve for x
    x = 100,525,775,364/150,780
  6. Step 6: Final answer
    x = 666,704.97

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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.