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Finding the Third Proportional to 155,930 and 336,746

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Solution

The third proportional to 155,930 and 336,746 is: 727,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,930 : 336,746 = 336,746 : x
  2. Step 2: Convert to fraction form
    155,930/336,746 = 336,746/x
  3. Step 3: Cross multiply
    155,930x = 336,746 × 336,746
  4. Step 4: Simplify right side
    155,930x = 113,397,868,516
  5. Step 5: Solve for x
    x = 113,397,868,516/155,930
  6. Step 6: Final answer
    x = 727,235.74

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Why These Related Problems?

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