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Finding the Third Proportional to 174,368 and 369,659

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Solution

The third proportional to 174,368 and 369,659 is: 783,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,368 : 369,659 = 369,659 : x
  2. Step 2: Convert to fraction form
    174,368/369,659 = 369,659/x
  3. Step 3: Cross multiply
    174,368x = 369,659 × 369,659
  4. Step 4: Simplify right side
    174,368x = 136,647,776,281
  5. Step 5: Solve for x
    x = 136,647,776,281/174,368
  6. Step 6: Final answer
    x = 783,674.62

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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.