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Finding the Third Proportional to 161,024 and 349,723

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Solution

The third proportional to 161,024 and 349,723 is: 759,552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,024 : 349,723 = 349,723 : x
  2. Step 2: Convert to fraction form
    161,024/349,723 = 349,723/x
  3. Step 3: Cross multiply
    161,024x = 349,723 × 349,723
  4. Step 4: Simplify right side
    161,024x = 122,306,176,729
  5. Step 5: Solve for x
    x = 122,306,176,729/161,024
  6. Step 6: Final answer
    x = 759,552.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.