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Finding the Third Proportional to 152,954 and 328,045

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Solution

The third proportional to 152,954 and 328,045 is: 703,567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,954 : 328,045 = 328,045 : x
  2. Step 2: Convert to fraction form
    152,954/328,045 = 328,045/x
  3. Step 3: Cross multiply
    152,954x = 328,045 × 328,045
  4. Step 4: Simplify right side
    152,954x = 107,613,522,025
  5. Step 5: Solve for x
    x = 107,613,522,025/152,954
  6. Step 6: Final answer
    x = 703,567.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.