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Finding the Third Proportional to 174,901.50 and 374,697

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Solution

The third proportional to 174,901.50 and 374,697 is: 802,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,901.50 : 374,697 = 374,697 : x
  2. Step 2: Convert to fraction form
    174,901.50/374,697 = 374,697/x
  3. Step 3: Cross multiply
    174,901.50x = 374,697 × 374,697
  4. Step 4: Simplify right side
    174,901.50x = 140,397,841,809
  5. Step 5: Solve for x
    x = 140,397,841,809/174,901.50
  6. Step 6: Final answer
    x = 802,725.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.