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Finding the Third Proportional to 141,534 and 305,206

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Solution

The third proportional to 141,534 and 305,206 is: 658,150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,534 : 305,206 = 305,206 : x
  2. Step 2: Convert to fraction form
    141,534/305,206 = 305,206/x
  3. Step 3: Cross multiply
    141,534x = 305,206 × 305,206
  4. Step 4: Simplify right side
    141,534x = 93,150,702,436
  5. Step 5: Solve for x
    x = 93,150,702,436/141,534
  6. Step 6: Final answer
    x = 658,150.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.