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Finding the Third Proportional to 147,946.50 and 324,050.63

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Solution

The third proportional to 147,946.50 and 324,050.63 is: 709,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,946.50 : 324,050.63 = 324,050.63 : x
  2. Step 2: Convert to fraction form
    147,946.50/324,050.63 = 324,050.63/x
  3. Step 3: Cross multiply
    147,946.50x = 324,050.63 × 324,050.63
  4. Step 4: Simplify right side
    147,946.50x = 105,008,807,562.89
  5. Step 5: Solve for x
    x = 105,008,807,562.89/147,946.50
  6. Step 6: Final answer
    x = 709,775.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.