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Finding the Third Proportional to 204,056.50 and 432,814.50

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Solution

The third proportional to 204,056.50 and 432,814.50 is: 918,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,056.50 : 432,814.50 = 432,814.50 : x
  2. Step 2: Convert to fraction form
    204,056.50/432,814.50 = 432,814.50/x
  3. Step 3: Cross multiply
    204,056.50x = 432,814.50 × 432,814.50
  4. Step 4: Simplify right side
    204,056.50x = 187,328,391,410.25
  5. Step 5: Solve for x
    x = 187,328,391,410.25/204,056.50
  6. Step 6: Final answer
    x = 918,022.17

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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.