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Finding the Third Proportional to 135,696 and 296,547

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Solution

The third proportional to 135,696 and 296,547 is: 648,067.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,696 : 296,547 = 296,547 : x
  2. Step 2: Convert to fraction form
    135,696/296,547 = 296,547/x
  3. Step 3: Cross multiply
    135,696x = 296,547 × 296,547
  4. Step 4: Simplify right side
    135,696x = 87,940,123,209
  5. Step 5: Solve for x
    x = 87,940,123,209/135,696
  6. Step 6: Final answer
    x = 648,067.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.