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Finding the Third Proportional to 207,330 and 452,184

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Solution

The third proportional to 207,330 and 452,184 is: 986,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,330 : 452,184 = 452,184 : x
  2. Step 2: Convert to fraction form
    207,330/452,184 = 452,184/x
  3. Step 3: Cross multiply
    207,330x = 452,184 × 452,184
  4. Step 4: Simplify right side
    207,330x = 204,470,369,856
  5. Step 5: Solve for x
    x = 204,470,369,856/207,330
  6. Step 6: Final answer
    x = 986,207.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.