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Finding the Third Proportional to 174,364 and 369,653

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Solution

The third proportional to 174,364 and 369,653 is: 783,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,364 : 369,653 = 369,653 : x
  2. Step 2: Convert to fraction form
    174,364/369,653 = 369,653/x
  3. Step 3: Cross multiply
    174,364x = 369,653 × 369,653
  4. Step 4: Simplify right side
    174,364x = 136,643,340,409
  5. Step 5: Solve for x
    x = 136,643,340,409/174,364
  6. Step 6: Final answer
    x = 783,667.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.