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Finding the Third Proportional to 183,204 and 291,420

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Solution

The third proportional to 183,204 and 291,420 is: 463,557.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,204 : 291,420 = 291,420 : x
  2. Step 2: Convert to fraction form
    183,204/291,420 = 291,420/x
  3. Step 3: Cross multiply
    183,204x = 291,420 × 291,420
  4. Step 4: Simplify right side
    183,204x = 84,925,616,400
  5. Step 5: Solve for x
    x = 84,925,616,400/183,204
  6. Step 6: Final answer
    x = 463,557.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.