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Finding the Third Proportional to 134,369 and 203,290

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Solution

The third proportional to 134,369 and 203,290 is: 307,562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,369 : 203,290 = 203,290 : x
  2. Step 2: Convert to fraction form
    134,369/203,290 = 203,290/x
  3. Step 3: Cross multiply
    134,369x = 203,290 × 203,290
  4. Step 4: Simplify right side
    134,369x = 41,326,824,100
  5. Step 5: Solve for x
    x = 41,326,824,100/134,369
  6. Step 6: Final answer
    x = 307,562.19

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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.