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Finding the Third Proportional to 161,788 and 346,992

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Solution

The third proportional to 161,788 and 346,992 is: 744,205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,788 : 346,992 = 346,992 : x
  2. Step 2: Convert to fraction form
    161,788/346,992 = 346,992/x
  3. Step 3: Cross multiply
    161,788x = 346,992 × 346,992
  4. Step 4: Simplify right side
    161,788x = 120,403,448,064
  5. Step 5: Solve for x
    x = 120,403,448,064/161,788
  6. Step 6: Final answer
    x = 744,205.06

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