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Finding the Third Proportional to 201,856.50 and 438,057

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Solution

The third proportional to 201,856.50 and 438,057 is: 950,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,856.50 : 438,057 = 438,057 : x
  2. Step 2: Convert to fraction form
    201,856.50/438,057 = 438,057/x
  3. Step 3: Cross multiply
    201,856.50x = 438,057 × 438,057
  4. Step 4: Simplify right side
    201,856.50x = 191,893,935,249
  5. Step 5: Solve for x
    x = 191,893,935,249/201,856.50
  6. Step 6: Final answer
    x = 950,645.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.