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Finding the Third Proportional to 236,349 and 344,362.50

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Solution

The third proportional to 236,349 and 344,362.50 is: 501,739.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,349 : 344,362.50 = 344,362.50 : x
  2. Step 2: Convert to fraction form
    236,349/344,362.50 = 344,362.50/x
  3. Step 3: Cross multiply
    236,349x = 344,362.50 × 344,362.50
  4. Step 4: Simplify right side
    236,349x = 118,585,531,406.25
  5. Step 5: Solve for x
    x = 118,585,531,406.25/236,349
  6. Step 6: Final answer
    x = 501,739.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.