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Finding the Third Proportional to 134,885.25 and 202,675.50

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Solution

The third proportional to 134,885.25 and 202,675.50 is: 304,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,885.25 : 202,675.50 = 202,675.50 : x
  2. Step 2: Convert to fraction form
    134,885.25/202,675.50 = 202,675.50/x
  3. Step 3: Cross multiply
    134,885.25x = 202,675.50 × 202,675.50
  4. Step 4: Simplify right side
    134,885.25x = 41,077,358,300.25
  5. Step 5: Solve for x
    x = 41,077,358,300.25/134,885.25
  6. Step 6: Final answer
    x = 304,535.58

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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.