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Finding the Third Proportional to 210,024 and 330,344

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Solution

The third proportional to 210,024 and 330,344 is: 519,593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,024 : 330,344 = 330,344 : x
  2. Step 2: Convert to fraction form
    210,024/330,344 = 330,344/x
  3. Step 3: Cross multiply
    210,024x = 330,344 × 330,344
  4. Step 4: Simplify right side
    210,024x = 109,127,158,336
  5. Step 5: Solve for x
    x = 109,127,158,336/210,024
  6. Step 6: Final answer
    x = 519,593.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.