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Finding the Third Proportional to 174,708.56 and 374,332.22

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Solution

The third proportional to 174,708.56 and 374,332.22 is: 802,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,708.56 : 374,332.22 = 374,332.22 : x
  2. Step 2: Convert to fraction form
    174,708.56/374,332.22 = 374,332.22/x
  3. Step 3: Cross multiply
    174,708.56x = 374,332.22 × 374,332.22
  4. Step 4: Simplify right side
    174,708.56x = 140,124,609,994.30
  5. Step 5: Solve for x
    x = 140,124,609,994.30/174,708.56
  6. Step 6: Final answer
    x = 802,047.75

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