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Finding the Third Proportional to 134,295 and 289,610

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Solution

The third proportional to 134,295 and 289,610 is: 624,550.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,295 : 289,610 = 289,610 : x
  2. Step 2: Convert to fraction form
    134,295/289,610 = 289,610/x
  3. Step 3: Cross multiply
    134,295x = 289,610 × 289,610
  4. Step 4: Simplify right side
    134,295x = 83,873,952,100
  5. Step 5: Solve for x
    x = 83,873,952,100/134,295
  6. Step 6: Final answer
    x = 624,550.07

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