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Finding the Third Proportional to 134,986 and 293,276

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Solution

The third proportional to 134,986 and 293,276 is: 637,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,986 : 293,276 = 293,276 : x
  2. Step 2: Convert to fraction form
    134,986/293,276 = 293,276/x
  3. Step 3: Cross multiply
    134,986x = 293,276 × 293,276
  4. Step 4: Simplify right side
    134,986x = 86,010,812,176
  5. Step 5: Solve for x
    x = 86,010,812,176/134,986
  6. Step 6: Final answer
    x = 637,183.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.