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Finding the Third Proportional to 136,829 and 294,034

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Solution

The third proportional to 136,829 and 294,034 is: 631,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,829 : 294,034 = 294,034 : x
  2. Step 2: Convert to fraction form
    136,829/294,034 = 294,034/x
  3. Step 3: Cross multiply
    136,829x = 294,034 × 294,034
  4. Step 4: Simplify right side
    136,829x = 86,455,993,156
  5. Step 5: Solve for x
    x = 86,455,993,156/136,829
  6. Step 6: Final answer
    x = 631,854.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.