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Finding the Third Proportional to 160,088 and 345,004

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Solution

The third proportional to 160,088 and 345,004 is: 743,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,088 : 345,004 = 345,004 : x
  2. Step 2: Convert to fraction form
    160,088/345,004 = 345,004/x
  3. Step 3: Cross multiply
    160,088x = 345,004 × 345,004
  4. Step 4: Simplify right side
    160,088x = 119,027,760,016
  5. Step 5: Solve for x
    x = 119,027,760,016/160,088
  6. Step 6: Final answer
    x = 743,514.57

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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.