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Finding the Third Proportional to 119,637 and 258,977.25

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Solution

The third proportional to 119,637 and 258,977.25 is: 560,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,637 : 258,977.25 = 258,977.25 : x
  2. Step 2: Convert to fraction form
    119,637/258,977.25 = 258,977.25/x
  3. Step 3: Cross multiply
    119,637x = 258,977.25 × 258,977.25
  4. Step 4: Simplify right side
    119,637x = 67,069,216,017.56
  5. Step 5: Solve for x
    x = 67,069,216,017.56/119,637
  6. Step 6: Final answer
    x = 560,605.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.