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Finding the Third Proportional to 161,460 and 345,006

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Solution

The third proportional to 161,460 and 345,006 is: 737,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,460 : 345,006 = 345,006 : x
  2. Step 2: Convert to fraction form
    161,460/345,006 = 345,006/x
  3. Step 3: Cross multiply
    161,460x = 345,006 × 345,006
  4. Step 4: Simplify right side
    161,460x = 119,029,140,036
  5. Step 5: Solve for x
    x = 119,029,140,036/161,460
  6. Step 6: Final answer
    x = 737,205.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.