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Finding the Third Proportional to 201,707.72 and 438,903.56

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Solution

The third proportional to 201,707.72 and 438,903.56 is: 955,027.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,707.72 : 438,903.56 = 438,903.56 : x
  2. Step 2: Convert to fraction form
    201,707.72/438,903.56 = 438,903.56/x
  3. Step 3: Cross multiply
    201,707.72x = 438,903.56 × 438,903.56
  4. Step 4: Simplify right side
    201,707.72x = 192,636,337,175.19
  5. Step 5: Solve for x
    x = 192,636,337,175.19/201,707.72
  6. Step 6: Final answer
    x = 955,027.10

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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.