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Finding the Third Proportional to 173,709 and 252,647

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Solution

The third proportional to 173,709 and 252,647 is: 367,456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,709 : 252,647 = 252,647 : x
  2. Step 2: Convert to fraction form
    173,709/252,647 = 252,647/x
  3. Step 3: Cross multiply
    173,709x = 252,647 × 252,647
  4. Step 4: Simplify right side
    173,709x = 63,830,506,609
  5. Step 5: Solve for x
    x = 63,830,506,609/173,709
  6. Step 6: Final answer
    x = 367,456.53

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.