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Finding the Third Proportional to 136,834 and 294,042

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Solution

The third proportional to 136,834 and 294,042 is: 631,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,834 : 294,042 = 294,042 : x
  2. Step 2: Convert to fraction form
    136,834/294,042 = 294,042/x
  3. Step 3: Cross multiply
    136,834x = 294,042 × 294,042
  4. Step 4: Simplify right side
    136,834x = 86,460,697,764
  5. Step 5: Solve for x
    x = 86,460,697,764/136,834
  6. Step 6: Final answer
    x = 631,865.60

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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.