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Finding the Third Proportional to 174,820.50 and 386,388

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Solution

The third proportional to 174,820.50 and 386,388 is: 853,994.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,820.50 : 386,388 = 386,388 : x
  2. Step 2: Convert to fraction form
    174,820.50/386,388 = 386,388/x
  3. Step 3: Cross multiply
    174,820.50x = 386,388 × 386,388
  4. Step 4: Simplify right side
    174,820.50x = 149,295,686,544
  5. Step 5: Solve for x
    x = 149,295,686,544/174,820.50
  6. Step 6: Final answer
    x = 853,994.16

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.