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Finding the Third Proportional to 146,187 and 314,932.50

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Solution

The third proportional to 146,187 and 314,932.50 is: 678,463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,187 : 314,932.50 = 314,932.50 : x
  2. Step 2: Convert to fraction form
    146,187/314,932.50 = 314,932.50/x
  3. Step 3: Cross multiply
    146,187x = 314,932.50 × 314,932.50
  4. Step 4: Simplify right side
    146,187x = 99,182,479,556.25
  5. Step 5: Solve for x
    x = 99,182,479,556.25/146,187
  6. Step 6: Final answer
    x = 678,463.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.