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Finding the Third Proportional to 159,430 and 335,384

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Solution

The third proportional to 159,430 and 335,384 is: 705,528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,430 : 335,384 = 335,384 : x
  2. Step 2: Convert to fraction form
    159,430/335,384 = 335,384/x
  3. Step 3: Cross multiply
    159,430x = 335,384 × 335,384
  4. Step 4: Simplify right side
    159,430x = 112,482,427,456
  5. Step 5: Solve for x
    x = 112,482,427,456/159,430
  6. Step 6: Final answer
    x = 705,528.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.