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Finding the Third Proportional to 119,976 and 277,746

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Solution

The third proportional to 119,976 and 277,746 is: 642,985.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,976 : 277,746 = 277,746 : x
  2. Step 2: Convert to fraction form
    119,976/277,746 = 277,746/x
  3. Step 3: Cross multiply
    119,976x = 277,746 × 277,746
  4. Step 4: Simplify right side
    119,976x = 77,142,840,516
  5. Step 5: Solve for x
    x = 77,142,840,516/119,976
  6. Step 6: Final answer
    x = 642,985.60

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.