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Finding the Third Proportional to 119,640 and 185,784

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Solution

The third proportional to 119,640 and 185,784 is: 288,496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,640 : 185,784 = 185,784 : x
  2. Step 2: Convert to fraction form
    119,640/185,784 = 185,784/x
  3. Step 3: Cross multiply
    119,640x = 185,784 × 185,784
  4. Step 4: Simplify right side
    119,640x = 34,515,694,656
  5. Step 5: Solve for x
    x = 34,515,694,656/119,640
  6. Step 6: Final answer
    x = 288,496.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.