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Finding the Third Proportional to 240,575 and 336,336

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Solution

The third proportional to 240,575 and 336,336 is: 470,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,575 : 336,336 = 336,336 : x
  2. Step 2: Convert to fraction form
    240,575/336,336 = 336,336/x
  3. Step 3: Cross multiply
    240,575x = 336,336 × 336,336
  4. Step 4: Simplify right side
    240,575x = 113,121,904,896
  5. Step 5: Solve for x
    x = 113,121,904,896/240,575
  6. Step 6: Final answer
    x = 470,214.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.