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Finding the Third Proportional to 119,389.50 and 261,742.50

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Solution

The third proportional to 119,389.50 and 261,742.50 is: 573,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,389.50 : 261,742.50 = 261,742.50 : x
  2. Step 2: Convert to fraction form
    119,389.50/261,742.50 = 261,742.50/x
  3. Step 3: Cross multiply
    119,389.50x = 261,742.50 × 261,742.50
  4. Step 4: Simplify right side
    119,389.50x = 68,509,136,306.25
  5. Step 5: Solve for x
    x = 68,509,136,306.25/119,389.50
  6. Step 6: Final answer
    x = 573,828.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.