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Finding the Third Proportional to 210,448 and 296,008

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Solution

The third proportional to 210,448 and 296,008 is: 416,353.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,448 : 296,008 = 296,008 : x
  2. Step 2: Convert to fraction form
    210,448/296,008 = 296,008/x
  3. Step 3: Cross multiply
    210,448x = 296,008 × 296,008
  4. Step 4: Simplify right side
    210,448x = 87,620,736,064
  5. Step 5: Solve for x
    x = 87,620,736,064/210,448
  6. Step 6: Final answer
    x = 416,353.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.