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Finding the Third Proportional to 152,801.44 and 331,899.19

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Solution

The third proportional to 152,801.44 and 331,899.19 is: 720,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,801.44 : 331,899.19 = 331,899.19 : x
  2. Step 2: Convert to fraction form
    152,801.44/331,899.19 = 331,899.19/x
  3. Step 3: Cross multiply
    152,801.44x = 331,899.19 × 331,899.19
  4. Step 4: Simplify right side
    152,801.44x = 110,157,070,663.16
  5. Step 5: Solve for x
    x = 110,157,070,663.16/152,801.44
  6. Step 6: Final answer
    x = 720,916.46

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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.