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Finding the Third Proportional to 149,350.50 and 346,018.50

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Solution

The third proportional to 149,350.50 and 346,018.50 is: 801,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,350.50 : 346,018.50 = 346,018.50 : x
  2. Step 2: Convert to fraction form
    149,350.50/346,018.50 = 346,018.50/x
  3. Step 3: Cross multiply
    149,350.50x = 346,018.50 × 346,018.50
  4. Step 4: Simplify right side
    149,350.50x = 119,728,802,342.25
  5. Step 5: Solve for x
    x = 119,728,802,342.25/149,350.50
  6. Step 6: Final answer
    x = 801,663.22

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.