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Finding the Third Proportional to 221,686.50 and 459,138

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Solution

The third proportional to 221,686.50 and 459,138 is: 950,927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,686.50 : 459,138 = 459,138 : x
  2. Step 2: Convert to fraction form
    221,686.50/459,138 = 459,138/x
  3. Step 3: Cross multiply
    221,686.50x = 459,138 × 459,138
  4. Step 4: Simplify right side
    221,686.50x = 210,807,703,044
  5. Step 5: Solve for x
    x = 210,807,703,044/221,686.50
  6. Step 6: Final answer
    x = 950,927.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.