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Finding the Third Proportional to 136,824.19 and 204,689.53

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Solution

The third proportional to 136,824.19 and 204,689.53 is: 306,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,824.19 : 204,689.53 = 204,689.53 : x
  2. Step 2: Convert to fraction form
    136,824.19/204,689.53 = 204,689.53/x
  3. Step 3: Cross multiply
    136,824.19x = 204,689.53 × 204,689.53
  4. Step 4: Simplify right side
    136,824.19x = 41,897,804,203.34
  5. Step 5: Solve for x
    x = 41,897,804,203.34/136,824.19
  6. Step 6: Final answer
    x = 306,216.36

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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.