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Finding the Third Proportional to 183,003 and 292,203

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Solution

The third proportional to 183,003 and 292,203 is: 466,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,003 : 292,203 = 292,203 : x
  2. Step 2: Convert to fraction form
    183,003/292,203 = 292,203/x
  3. Step 3: Cross multiply
    183,003x = 292,203 × 292,203
  4. Step 4: Simplify right side
    183,003x = 85,382,593,209
  5. Step 5: Solve for x
    x = 85,382,593,209/183,003
  6. Step 6: Final answer
    x = 466,563.90

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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.