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Finding the Third Proportional to 134,356 and 203,045

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Solution

The third proportional to 134,356 and 203,045 is: 306,850.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,356 : 203,045 = 203,045 : x
  2. Step 2: Convert to fraction form
    134,356/203,045 = 203,045/x
  3. Step 3: Cross multiply
    134,356x = 203,045 × 203,045
  4. Step 4: Simplify right side
    134,356x = 41,227,272,025
  5. Step 5: Solve for x
    x = 41,227,272,025/134,356
  6. Step 6: Final answer
    x = 306,850.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.