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Finding the Third Proportional to 163,403.25 and 245,022.75

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Solution

The third proportional to 163,403.25 and 245,022.75 is: 367,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,403.25 : 245,022.75 = 245,022.75 : x
  2. Step 2: Convert to fraction form
    163,403.25/245,022.75 = 245,022.75/x
  3. Step 3: Cross multiply
    163,403.25x = 245,022.75 × 245,022.75
  4. Step 4: Simplify right side
    163,403.25x = 60,036,148,017.56
  5. Step 5: Solve for x
    x = 60,036,148,017.56/163,403.25
  6. Step 6: Final answer
    x = 367,410.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.