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Finding the Third Proportional to 144,647 and 296,341

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Solution

The third proportional to 144,647 and 296,341 is: 607,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,647 : 296,341 = 296,341 : x
  2. Step 2: Convert to fraction form
    144,647/296,341 = 296,341/x
  3. Step 3: Cross multiply
    144,647x = 296,341 × 296,341
  4. Step 4: Simplify right side
    144,647x = 87,817,988,281
  5. Step 5: Solve for x
    x = 87,817,988,281/144,647
  6. Step 6: Final answer
    x = 607,119.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.