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Finding the Third Proportional to 149,570 and 316,024

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Solution

The third proportional to 149,570 and 316,024 is: 667,721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,570 : 316,024 = 316,024 : x
  2. Step 2: Convert to fraction form
    149,570/316,024 = 316,024/x
  3. Step 3: Cross multiply
    149,570x = 316,024 × 316,024
  4. Step 4: Simplify right side
    149,570x = 99,871,168,576
  5. Step 5: Solve for x
    x = 99,871,168,576/149,570
  6. Step 6: Final answer
    x = 667,721.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.