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Finding the Third Proportional to 157,982 and 341,524

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Solution

The third proportional to 157,982 and 341,524 is: 738,303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,982 : 341,524 = 341,524 : x
  2. Step 2: Convert to fraction form
    157,982/341,524 = 341,524/x
  3. Step 3: Cross multiply
    157,982x = 341,524 × 341,524
  4. Step 4: Simplify right side
    157,982x = 116,638,642,576
  5. Step 5: Solve for x
    x = 116,638,642,576/157,982
  6. Step 6: Final answer
    x = 738,303.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.