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Finding the Third Proportional to 146,106 and 341,359.50

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Solution

The third proportional to 146,106 and 341,359.50 is: 797,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,106 : 341,359.50 = 341,359.50 : x
  2. Step 2: Convert to fraction form
    146,106/341,359.50 = 341,359.50/x
  3. Step 3: Cross multiply
    146,106x = 341,359.50 × 341,359.50
  4. Step 4: Simplify right side
    146,106x = 116,526,308,240.25
  5. Step 5: Solve for x
    x = 116,526,308,240.25/146,106
  6. Step 6: Final answer
    x = 797,546.36

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.