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Finding the Third Proportional to 152,762 and 335,617

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Solution

The third proportional to 152,762 and 335,617 is: 737,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,762 : 335,617 = 335,617 : x
  2. Step 2: Convert to fraction form
    152,762/335,617 = 335,617/x
  3. Step 3: Cross multiply
    152,762x = 335,617 × 335,617
  4. Step 4: Simplify right side
    152,762x = 112,638,770,689
  5. Step 5: Solve for x
    x = 112,638,770,689/152,762
  6. Step 6: Final answer
    x = 737,348.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.