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Finding the Third Proportional to 100,298.25 and 152,421.75

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Solution

The third proportional to 100,298.25 and 152,421.75 is: 231,633.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,298.25 : 152,421.75 = 152,421.75 : x
  2. Step 2: Convert to fraction form
    100,298.25/152,421.75 = 152,421.75/x
  3. Step 3: Cross multiply
    100,298.25x = 152,421.75 × 152,421.75
  4. Step 4: Simplify right side
    100,298.25x = 23,232,389,873.06
  5. Step 5: Solve for x
    x = 23,232,389,873.06/100,298.25
  6. Step 6: Final answer
    x = 231,633.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.