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Finding the Third Proportional to 136,437 and 295,293

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Solution

The third proportional to 136,437 and 295,293 is: 639,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,437 : 295,293 = 295,293 : x
  2. Step 2: Convert to fraction form
    136,437/295,293 = 295,293/x
  3. Step 3: Cross multiply
    136,437x = 295,293 × 295,293
  4. Step 4: Simplify right side
    136,437x = 87,197,955,849
  5. Step 5: Solve for x
    x = 87,197,955,849/136,437
  6. Step 6: Final answer
    x = 639,107.84

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Why These Related Problems?

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