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Finding the Third Proportional to 174,539.50 and 375,794

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Solution

The third proportional to 174,539.50 and 375,794 is: 809,107.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,539.50 : 375,794 = 375,794 : x
  2. Step 2: Convert to fraction form
    174,539.50/375,794 = 375,794/x
  3. Step 3: Cross multiply
    174,539.50x = 375,794 × 375,794
  4. Step 4: Simplify right side
    174,539.50x = 141,221,130,436
  5. Step 5: Solve for x
    x = 141,221,130,436/174,539.50
  6. Step 6: Final answer
    x = 809,107.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.