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Finding the Third Proportional to 150,010 and 328,041

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Solution

The third proportional to 150,010 and 328,041 is: 717,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,010 : 328,041 = 328,041 : x
  2. Step 2: Convert to fraction form
    150,010/328,041 = 328,041/x
  3. Step 3: Cross multiply
    150,010x = 328,041 × 328,041
  4. Step 4: Simplify right side
    150,010x = 107,610,897,681
  5. Step 5: Solve for x
    x = 107,610,897,681/150,010
  6. Step 6: Final answer
    x = 717,358.16

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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.