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Finding the Third Proportional to 152,762 and 335,408

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Solution

The third proportional to 152,762 and 335,408 is: 736,430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,762 : 335,408 = 335,408 : x
  2. Step 2: Convert to fraction form
    152,762/335,408 = 335,408/x
  3. Step 3: Cross multiply
    152,762x = 335,408 × 335,408
  4. Step 4: Simplify right side
    152,762x = 112,498,526,464
  5. Step 5: Solve for x
    x = 112,498,526,464/152,762
  6. Step 6: Final answer
    x = 736,430.04

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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.