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Finding the Third Proportional to 174,663.84 and 377,337.23

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Solution

The third proportional to 174,663.84 and 377,337.23 is: 815,185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,663.84 : 377,337.23 = 377,337.23 : x
  2. Step 2: Convert to fraction form
    174,663.84/377,337.23 = 377,337.23/x
  3. Step 3: Cross multiply
    174,663.84x = 377,337.23 × 377,337.23
  4. Step 4: Simplify right side
    174,663.84x = 142,383,388,445.77
  5. Step 5: Solve for x
    x = 142,383,388,445.77/174,663.84
  6. Step 6: Final answer
    x = 815,185.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.