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Finding the Third Proportional to 159,905 and 352,006

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Solution

The third proportional to 159,905 and 352,006 is: 774,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,905 : 352,006 = 352,006 : x
  2. Step 2: Convert to fraction form
    159,905/352,006 = 352,006/x
  3. Step 3: Cross multiply
    159,905x = 352,006 × 352,006
  4. Step 4: Simplify right side
    159,905x = 123,908,224,036
  5. Step 5: Solve for x
    x = 123,908,224,036/159,905
  6. Step 6: Final answer
    x = 774,886.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.