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Finding the Third Proportional to 214,600 and 319,362

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Solution

The third proportional to 214,600 and 319,362 is: 475,266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,600 : 319,362 = 319,362 : x
  2. Step 2: Convert to fraction form
    214,600/319,362 = 319,362/x
  3. Step 3: Cross multiply
    214,600x = 319,362 × 319,362
  4. Step 4: Simplify right side
    214,600x = 101,992,087,044
  5. Step 5: Solve for x
    x = 101,992,087,044/214,600
  6. Step 6: Final answer
    x = 475,266.02

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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.