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Finding the Third Proportional to 160,090 and 345,008

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Solution

The third proportional to 160,090 and 345,008 is: 743,522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,090 : 345,008 = 345,008 : x
  2. Step 2: Convert to fraction form
    160,090/345,008 = 345,008/x
  3. Step 3: Cross multiply
    160,090x = 345,008 × 345,008
  4. Step 4: Simplify right side
    160,090x = 119,030,520,064
  5. Step 5: Solve for x
    x = 119,030,520,064/160,090
  6. Step 6: Final answer
    x = 743,522.52

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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.