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Finding the Third Proportional to 212,886 and 337,473

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Solution

The third proportional to 212,886 and 337,473 is: 534,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,886 : 337,473 = 337,473 : x
  2. Step 2: Convert to fraction form
    212,886/337,473 = 337,473/x
  3. Step 3: Cross multiply
    212,886x = 337,473 × 337,473
  4. Step 4: Simplify right side
    212,886x = 113,888,025,729
  5. Step 5: Solve for x
    x = 113,888,025,729/212,886
  6. Step 6: Final answer
    x = 534,971.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.