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Finding the Third Proportional to 174,218 and 369,368

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Solution

The third proportional to 174,218 and 369,368 is: 783,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,218 : 369,368 = 369,368 : x
  2. Step 2: Convert to fraction form
    174,218/369,368 = 369,368/x
  3. Step 3: Cross multiply
    174,218x = 369,368 × 369,368
  4. Step 4: Simplify right side
    174,218x = 136,432,719,424
  5. Step 5: Solve for x
    x = 136,432,719,424/174,218
  6. Step 6: Final answer
    x = 783,114.94

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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.