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Finding the Third Proportional to 174,384 and 369,522

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Solution

The third proportional to 174,384 and 369,522 is: 783,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,384 : 369,522 = 369,522 : x
  2. Step 2: Convert to fraction form
    174,384/369,522 = 369,522/x
  3. Step 3: Cross multiply
    174,384x = 369,522 × 369,522
  4. Step 4: Simplify right side
    174,384x = 136,546,508,484
  5. Step 5: Solve for x
    x = 136,546,508,484/174,384
  6. Step 6: Final answer
    x = 783,022.00

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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.