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Finding the Third Proportional to 214,602 and 319,365

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Solution

The third proportional to 214,602 and 319,365 is: 475,270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,602 : 319,365 = 319,365 : x
  2. Step 2: Convert to fraction form
    214,602/319,365 = 319,365/x
  3. Step 3: Cross multiply
    214,602x = 319,365 × 319,365
  4. Step 4: Simplify right side
    214,602x = 101,994,003,225
  5. Step 5: Solve for x
    x = 101,994,003,225/214,602
  6. Step 6: Final answer
    x = 475,270.52

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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.