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Finding the Third Proportional to 152,647.88 and 332,445.94

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Solution

The third proportional to 152,647.88 and 332,445.94 is: 724,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,647.88 : 332,445.94 = 332,445.94 : x
  2. Step 2: Convert to fraction form
    152,647.88/332,445.94 = 332,445.94/x
  3. Step 3: Cross multiply
    152,647.88x = 332,445.94 × 332,445.94
  4. Step 4: Simplify right side
    152,647.88x = 110,520,301,360.25
  5. Step 5: Solve for x
    x = 110,520,301,360.25/152,647.88
  6. Step 6: Final answer
    x = 724,021.22

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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.