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Finding the Third Proportional to 182,189.25 and 245,126.25

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Solution

The third proportional to 182,189.25 and 245,126.25 is: 329,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,189.25 : 245,126.25 = 245,126.25 : x
  2. Step 2: Convert to fraction form
    182,189.25/245,126.25 = 245,126.25/x
  3. Step 3: Cross multiply
    182,189.25x = 245,126.25 × 245,126.25
  4. Step 4: Simplify right side
    182,189.25x = 60,086,878,439.06
  5. Step 5: Solve for x
    x = 60,086,878,439.06/182,189.25
  6. Step 6: Final answer
    x = 329,804.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.