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Finding the Third Proportional to 212,053 and 324,875

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Solution

The third proportional to 212,053 and 324,875 is: 497,723.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,053 : 324,875 = 324,875 : x
  2. Step 2: Convert to fraction form
    212,053/324,875 = 324,875/x
  3. Step 3: Cross multiply
    212,053x = 324,875 × 324,875
  4. Step 4: Simplify right side
    212,053x = 105,543,765,625
  5. Step 5: Solve for x
    x = 105,543,765,625/212,053
  6. Step 6: Final answer
    x = 497,723.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.