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Finding the Third Proportional to 214,324 and 301,902

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Solution

The third proportional to 214,324 and 301,902 is: 425,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,324 : 301,902 = 301,902 : x
  2. Step 2: Convert to fraction form
    214,324/301,902 = 301,902/x
  3. Step 3: Cross multiply
    214,324x = 301,902 × 301,902
  4. Step 4: Simplify right side
    214,324x = 91,144,817,604
  5. Step 5: Solve for x
    x = 91,144,817,604/214,324
  6. Step 6: Final answer
    x = 425,266.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.