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Finding the Third Proportional to 168,124.50 and 260,313.75

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Solution

The third proportional to 168,124.50 and 260,313.75 is: 403,053.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,124.50 : 260,313.75 = 260,313.75 : x
  2. Step 2: Convert to fraction form
    168,124.50/260,313.75 = 260,313.75/x
  3. Step 3: Cross multiply
    168,124.50x = 260,313.75 × 260,313.75
  4. Step 4: Simplify right side
    168,124.50x = 67,763,248,439.06
  5. Step 5: Solve for x
    x = 67,763,248,439.06/168,124.50
  6. Step 6: Final answer
    x = 403,053.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.