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Finding the Third Proportional to 245,325.38 and 347,900.06

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Solution

The third proportional to 245,325.38 and 347,900.06 is: 493,362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,325.38 : 347,900.06 = 347,900.06 : x
  2. Step 2: Convert to fraction form
    245,325.38/347,900.06 = 347,900.06/x
  3. Step 3: Cross multiply
    245,325.38x = 347,900.06 × 347,900.06
  4. Step 4: Simplify right side
    245,325.38x = 121,034,453,487.50
  5. Step 5: Solve for x
    x = 121,034,453,487.50/245,325.38
  6. Step 6: Final answer
    x = 493,362.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.