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Finding the Third Proportional to 171,725.50 and 252,622.50

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Solution

The third proportional to 171,725.50 and 252,622.50 is: 371,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,725.50 : 252,622.50 = 252,622.50 : x
  2. Step 2: Convert to fraction form
    171,725.50/252,622.50 = 252,622.50/x
  3. Step 3: Cross multiply
    171,725.50x = 252,622.50 × 252,622.50
  4. Step 4: Simplify right side
    171,725.50x = 63,818,127,506.25
  5. Step 5: Solve for x
    x = 63,818,127,506.25/171,725.50
  6. Step 6: Final answer
    x = 371,628.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.