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Finding the Third Proportional to 212,884 and 337,470

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Solution

The third proportional to 212,884 and 337,470 is: 534,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,884 : 337,470 = 337,470 : x
  2. Step 2: Convert to fraction form
    212,884/337,470 = 337,470/x
  3. Step 3: Cross multiply
    212,884x = 337,470 × 337,470
  4. Step 4: Simplify right side
    212,884x = 113,886,000,900
  5. Step 5: Solve for x
    x = 113,886,000,900/212,884
  6. Step 6: Final answer
    x = 534,967.40

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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.