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Finding the Third Proportional to 144,648 and 296,343

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Solution

The third proportional to 144,648 and 296,343 is: 607,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,648 : 296,343 = 296,343 : x
  2. Step 2: Convert to fraction form
    144,648/296,343 = 296,343/x
  3. Step 3: Cross multiply
    144,648x = 296,343 × 296,343
  4. Step 4: Simplify right side
    144,648x = 87,819,173,649
  5. Step 5: Solve for x
    x = 87,819,173,649/144,648
  6. Step 6: Final answer
    x = 607,123.32

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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.