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Finding the Third Proportional to 245,568 and 369,262

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Solution

The third proportional to 245,568 and 369,262 is: 555,261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,568 : 369,262 = 369,262 : x
  2. Step 2: Convert to fraction form
    245,568/369,262 = 369,262/x
  3. Step 3: Cross multiply
    245,568x = 369,262 × 369,262
  4. Step 4: Simplify right side
    245,568x = 136,354,424,644
  5. Step 5: Solve for x
    x = 136,354,424,644/245,568
  6. Step 6: Final answer
    x = 555,261.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.