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Finding the Third Proportional to 119,588 and 253,753

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Solution

The third proportional to 119,588 and 253,753 is: 538,436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,588 : 253,753 = 253,753 : x
  2. Step 2: Convert to fraction form
    119,588/253,753 = 253,753/x
  3. Step 3: Cross multiply
    119,588x = 253,753 × 253,753
  4. Step 4: Simplify right side
    119,588x = 64,390,585,009
  5. Step 5: Solve for x
    x = 64,390,585,009/119,588
  6. Step 6: Final answer
    x = 538,436.84

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.