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Finding the Third Proportional to 149,776 and 318,024

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Solution

The third proportional to 149,776 and 318,024 is: 675,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,776 : 318,024 = 318,024 : x
  2. Step 2: Convert to fraction form
    149,776/318,024 = 318,024/x
  3. Step 3: Cross multiply
    149,776x = 318,024 × 318,024
  4. Step 4: Simplify right side
    149,776x = 101,139,264,576
  5. Step 5: Solve for x
    x = 101,139,264,576/149,776
  6. Step 6: Final answer
    x = 675,270.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.