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Finding the Third Proportional to 174,310 and 369,549

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Solution

The third proportional to 174,310 and 369,549 is: 783,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,310 : 369,549 = 369,549 : x
  2. Step 2: Convert to fraction form
    174,310/369,549 = 369,549/x
  3. Step 3: Cross multiply
    174,310x = 369,549 × 369,549
  4. Step 4: Simplify right side
    174,310x = 136,566,463,401
  5. Step 5: Solve for x
    x = 136,566,463,401/174,310
  6. Step 6: Final answer
    x = 783,468.90

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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.