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Finding the Third Proportional to 161,024 and 341,536

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Solution

The third proportional to 161,024 and 341,536 is: 724,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,024 : 341,536 = 341,536 : x
  2. Step 2: Convert to fraction form
    161,024/341,536 = 341,536/x
  3. Step 3: Cross multiply
    161,024x = 341,536 × 341,536
  4. Step 4: Simplify right side
    161,024x = 116,646,839,296
  5. Step 5: Solve for x
    x = 116,646,839,296/161,024
  6. Step 6: Final answer
    x = 724,406.54

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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.