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Finding the Third Proportional to 174,697.50 and 372,273

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Solution

The third proportional to 174,697.50 and 372,273 is: 793,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,697.50 : 372,273 = 372,273 : x
  2. Step 2: Convert to fraction form
    174,697.50/372,273 = 372,273/x
  3. Step 3: Cross multiply
    174,697.50x = 372,273 × 372,273
  4. Step 4: Simplify right side
    174,697.50x = 138,587,186,529
  5. Step 5: Solve for x
    x = 138,587,186,529/174,697.50
  6. Step 6: Final answer
    x = 793,298.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.