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Finding the Third Proportional to 253,134 and 369,705

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Solution

The third proportional to 253,134 and 369,705 is: 539,958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,134 : 369,705 = 369,705 : x
  2. Step 2: Convert to fraction form
    253,134/369,705 = 369,705/x
  3. Step 3: Cross multiply
    253,134x = 369,705 × 369,705
  4. Step 4: Simplify right side
    253,134x = 136,681,787,025
  5. Step 5: Solve for x
    x = 136,681,787,025/253,134
  6. Step 6: Final answer
    x = 539,958.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.