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Finding the Third Proportional to 151,971.19 and 351,788.06

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Solution

The third proportional to 151,971.19 and 351,788.06 is: 814,330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,971.19 : 351,788.06 = 351,788.06 : x
  2. Step 2: Convert to fraction form
    151,971.19/351,788.06 = 351,788.06/x
  3. Step 3: Cross multiply
    151,971.19x = 351,788.06 × 351,788.06
  4. Step 4: Simplify right side
    151,971.19x = 123,754,840,917.50
  5. Step 5: Solve for x
    x = 123,754,840,917.50/151,971.19
  6. Step 6: Final answer
    x = 814,330.95

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.