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Finding the Third Proportional to 214,598 and 319,359

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Solution

The third proportional to 214,598 and 319,359 is: 475,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,598 : 319,359 = 319,359 : x
  2. Step 2: Convert to fraction form
    214,598/319,359 = 319,359/x
  3. Step 3: Cross multiply
    214,598x = 319,359 × 319,359
  4. Step 4: Simplify right side
    214,598x = 101,990,170,881
  5. Step 5: Solve for x
    x = 101,990,170,881/214,598
  6. Step 6: Final answer
    x = 475,261.52

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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.