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Finding the Third Proportional to 174,782.50 and 372,443

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Solution

The third proportional to 174,782.50 and 372,443 is: 793,636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,782.50 : 372,443 = 372,443 : x
  2. Step 2: Convert to fraction form
    174,782.50/372,443 = 372,443/x
  3. Step 3: Cross multiply
    174,782.50x = 372,443 × 372,443
  4. Step 4: Simplify right side
    174,782.50x = 138,713,788,249
  5. Step 5: Solve for x
    x = 138,713,788,249/174,782.50
  6. Step 6: Final answer
    x = 793,636.60

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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.