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Finding the Third Proportional to 174,858.75 and 377,632.13

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Solution

The third proportional to 174,858.75 and 377,632.13 is: 815,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,858.75 : 377,632.13 = 377,632.13 : x
  2. Step 2: Convert to fraction form
    174,858.75/377,632.13 = 377,632.13/x
  3. Step 3: Cross multiply
    174,858.75x = 377,632.13 × 377,632.13
  4. Step 4: Simplify right side
    174,858.75x = 142,606,021,832.02
  5. Step 5: Solve for x
    x = 142,606,021,832.02/174,858.75
  6. Step 6: Final answer
    x = 815,549.82

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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.