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Finding the Third Proportional to 137,270 and 300,784

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Solution

The third proportional to 137,270 and 300,784 is: 659,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,270 : 300,784 = 300,784 : x
  2. Step 2: Convert to fraction form
    137,270/300,784 = 300,784/x
  3. Step 3: Cross multiply
    137,270x = 300,784 × 300,784
  4. Step 4: Simplify right side
    137,270x = 90,471,014,656
  5. Step 5: Solve for x
    x = 90,471,014,656/137,270
  6. Step 6: Final answer
    x = 659,073.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.