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Finding the Third Proportional to 183,005 and 292,206

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Solution

The third proportional to 183,005 and 292,206 is: 466,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,005 : 292,206 = 292,206 : x
  2. Step 2: Convert to fraction form
    183,005/292,206 = 292,206/x
  3. Step 3: Cross multiply
    183,005x = 292,206 × 292,206
  4. Step 4: Simplify right side
    183,005x = 85,384,346,436
  5. Step 5: Solve for x
    x = 85,384,346,436/183,005
  6. Step 6: Final answer
    x = 466,568.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.