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Finding the Third Proportional to 183,040 and 375,002

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Solution

The third proportional to 183,040 and 375,002 is: 768,282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,040 : 375,002 = 375,002 : x
  2. Step 2: Convert to fraction form
    183,040/375,002 = 375,002/x
  3. Step 3: Cross multiply
    183,040x = 375,002 × 375,002
  4. Step 4: Simplify right side
    183,040x = 140,626,500,004
  5. Step 5: Solve for x
    x = 140,626,500,004/183,040
  6. Step 6: Final answer
    x = 768,282.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.