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Finding the Third Proportional to 155,868 and 336,058

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Solution

The third proportional to 155,868 and 336,058 is: 724,555.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,868 : 336,058 = 336,058 : x
  2. Step 2: Convert to fraction form
    155,868/336,058 = 336,058/x
  3. Step 3: Cross multiply
    155,868x = 336,058 × 336,058
  4. Step 4: Simplify right side
    155,868x = 112,934,979,364
  5. Step 5: Solve for x
    x = 112,934,979,364/155,868
  6. Step 6: Final answer
    x = 724,555.26

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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.