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Finding the Third Proportional to 174,216 and 369,364

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Solution

The third proportional to 174,216 and 369,364 is: 783,106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,216 : 369,364 = 369,364 : x
  2. Step 2: Convert to fraction form
    174,216/369,364 = 369,364/x
  3. Step 3: Cross multiply
    174,216x = 369,364 × 369,364
  4. Step 4: Simplify right side
    174,216x = 136,429,764,496
  5. Step 5: Solve for x
    x = 136,429,764,496/174,216
  6. Step 6: Final answer
    x = 783,106.97

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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.