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Finding the Third Proportional to 240,370 and 348,162

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Solution

The third proportional to 240,370 and 348,162 is: 504,292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,370 : 348,162 = 348,162 : x
  2. Step 2: Convert to fraction form
    240,370/348,162 = 348,162/x
  3. Step 3: Cross multiply
    240,370x = 348,162 × 348,162
  4. Step 4: Simplify right side
    240,370x = 121,216,778,244
  5. Step 5: Solve for x
    x = 121,216,778,244/240,370
  6. Step 6: Final answer
    x = 504,292.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.