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Finding the Third Proportional to 152,946 and 335,439

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Solution

The third proportional to 152,946 and 335,439 is: 735,680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,946 : 335,439 = 335,439 : x
  2. Step 2: Convert to fraction form
    152,946/335,439 = 335,439/x
  3. Step 3: Cross multiply
    152,946x = 335,439 × 335,439
  4. Step 4: Simplify right side
    152,946x = 112,519,322,721
  5. Step 5: Solve for x
    x = 112,519,322,721/152,946
  6. Step 6: Final answer
    x = 735,680.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.