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Finding the Third Proportional to 146,950.50 and 300,127.50

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Solution

The third proportional to 146,950.50 and 300,127.50 is: 612,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,950.50 : 300,127.50 = 300,127.50 : x
  2. Step 2: Convert to fraction form
    146,950.50/300,127.50 = 300,127.50/x
  3. Step 3: Cross multiply
    146,950.50x = 300,127.50 × 300,127.50
  4. Step 4: Simplify right side
    146,950.50x = 90,076,516,256.25
  5. Step 5: Solve for x
    x = 90,076,516,256.25/146,950.50
  6. Step 6: Final answer
    x = 612,971.83

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.