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Finding the Third Proportional to 174,865.50 and 377,295.75

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Solution

The third proportional to 174,865.50 and 377,295.75 is: 814,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,865.50 : 377,295.75 = 377,295.75 : x
  2. Step 2: Convert to fraction form
    174,865.50/377,295.75 = 377,295.75/x
  3. Step 3: Cross multiply
    174,865.50x = 377,295.75 × 377,295.75
  4. Step 4: Simplify right side
    174,865.50x = 142,352,082,968.06
  5. Step 5: Solve for x
    x = 142,352,082,968.06/174,865.50
  6. Step 6: Final answer
    x = 814,066.14

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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.