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Finding the Third Proportional to 148,234 and 325,994

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Solution

The third proportional to 148,234 and 325,994 is: 716,921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,234 : 325,994 = 325,994 : x
  2. Step 2: Convert to fraction form
    148,234/325,994 = 325,994/x
  3. Step 3: Cross multiply
    148,234x = 325,994 × 325,994
  4. Step 4: Simplify right side
    148,234x = 106,272,088,036
  5. Step 5: Solve for x
    x = 106,272,088,036/148,234
  6. Step 6: Final answer
    x = 716,921.14

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