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Finding the Third Proportional to 174,811.50 and 375,111

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Solution

The third proportional to 174,811.50 and 375,111 is: 804,914.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,811.50 : 375,111 = 375,111 : x
  2. Step 2: Convert to fraction form
    174,811.50/375,111 = 375,111/x
  3. Step 3: Cross multiply
    174,811.50x = 375,111 × 375,111
  4. Step 4: Simplify right side
    174,811.50x = 140,708,262,321
  5. Step 5: Solve for x
    x = 140,708,262,321/174,811.50
  6. Step 6: Final answer
    x = 804,914.22

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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.