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Finding the Third Proportional to 174,307 and 369,544

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Solution

The third proportional to 174,307 and 369,544 is: 783,461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,307 : 369,544 = 369,544 : x
  2. Step 2: Convert to fraction form
    174,307/369,544 = 369,544/x
  3. Step 3: Cross multiply
    174,307x = 369,544 × 369,544
  4. Step 4: Simplify right side
    174,307x = 136,562,767,936
  5. Step 5: Solve for x
    x = 136,562,767,936/174,307
  6. Step 6: Final answer
    x = 783,461.18

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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.