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Finding the Third Proportional to 152,948 and 335,443

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Solution

The third proportional to 152,948 and 335,443 is: 735,687.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,948 : 335,443 = 335,443 : x
  2. Step 2: Convert to fraction form
    152,948/335,443 = 335,443/x
  3. Step 3: Cross multiply
    152,948x = 335,443 × 335,443
  4. Step 4: Simplify right side
    152,948x = 112,522,006,249
  5. Step 5: Solve for x
    x = 112,522,006,249/152,948
  6. Step 6: Final answer
    x = 735,687.99

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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.