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Finding the Third Proportional to 159,640 and 232,440

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Solution

The third proportional to 159,640 and 232,440 is: 338,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,640 : 232,440 = 232,440 : x
  2. Step 2: Convert to fraction form
    159,640/232,440 = 232,440/x
  3. Step 3: Cross multiply
    159,640x = 232,440 × 232,440
  4. Step 4: Simplify right side
    159,640x = 54,028,353,600
  5. Step 5: Solve for x
    x = 54,028,353,600/159,640
  6. Step 6: Final answer
    x = 338,438.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.