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Finding the Third Proportional to 136,007 and 296,210

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Solution

The third proportional to 136,007 and 296,210 is: 645,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,007 : 296,210 = 296,210 : x
  2. Step 2: Convert to fraction form
    136,007/296,210 = 296,210/x
  3. Step 3: Cross multiply
    136,007x = 296,210 × 296,210
  4. Step 4: Simplify right side
    136,007x = 87,740,364,100
  5. Step 5: Solve for x
    x = 87,740,364,100/136,007
  6. Step 6: Final answer
    x = 645,116.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.