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Finding the Third Proportional to 214,632 and 319,410

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Solution

The third proportional to 214,632 and 319,410 is: 475,338.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,632 : 319,410 = 319,410 : x
  2. Step 2: Convert to fraction form
    214,632/319,410 = 319,410/x
  3. Step 3: Cross multiply
    214,632x = 319,410 × 319,410
  4. Step 4: Simplify right side
    214,632x = 102,022,748,100
  5. Step 5: Solve for x
    x = 102,022,748,100/214,632
  6. Step 6: Final answer
    x = 475,338.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.