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Finding the Third Proportional to 147,450.38 and 314,211.38

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Solution

The third proportional to 147,450.38 and 314,211.38 is: 669,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,450.38 : 314,211.38 = 314,211.38 : x
  2. Step 2: Convert to fraction form
    147,450.38/314,211.38 = 314,211.38/x
  3. Step 3: Cross multiply
    147,450.38x = 314,211.38 × 314,211.38
  4. Step 4: Simplify right side
    147,450.38x = 98,728,788,179.39
  5. Step 5: Solve for x
    x = 98,728,788,179.39/147,450.38
  6. Step 6: Final answer
    x = 669,572.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.