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Finding the Third Proportional to 136,160 and 294,184

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Solution

The third proportional to 136,160 and 294,184 is: 635,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,160 : 294,184 = 294,184 : x
  2. Step 2: Convert to fraction form
    136,160/294,184 = 294,184/x
  3. Step 3: Cross multiply
    136,160x = 294,184 × 294,184
  4. Step 4: Simplify right side
    136,160x = 86,544,225,856
  5. Step 5: Solve for x
    x = 86,544,225,856/136,160
  6. Step 6: Final answer
    x = 635,606.83

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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.