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Finding the Third Proportional to 174,909 and 370,837.50

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Solution

The third proportional to 174,909 and 370,837.50 is: 786,240.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,909 : 370,837.50 = 370,837.50 : x
  2. Step 2: Convert to fraction form
    174,909/370,837.50 = 370,837.50/x
  3. Step 3: Cross multiply
    174,909x = 370,837.50 × 370,837.50
  4. Step 4: Simplify right side
    174,909x = 137,520,451,406.25
  5. Step 5: Solve for x
    x = 137,520,451,406.25/174,909
  6. Step 6: Final answer
    x = 786,240.00

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.