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Finding the Third Proportional to 119,140 and 261,988

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Solution

The third proportional to 119,140 and 261,988 is: 576,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,140 : 261,988 = 261,988 : x
  2. Step 2: Convert to fraction form
    119,140/261,988 = 261,988/x
  3. Step 3: Cross multiply
    119,140x = 261,988 × 261,988
  4. Step 4: Simplify right side
    119,140x = 68,637,712,144
  5. Step 5: Solve for x
    x = 68,637,712,144/119,140
  6. Step 6: Final answer
    x = 576,109.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.