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Finding the Third Proportional to 237,963 and 350,356.50

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Solution

The third proportional to 237,963 and 350,356.50 is: 515,835.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,963 : 350,356.50 = 350,356.50 : x
  2. Step 2: Convert to fraction form
    237,963/350,356.50 = 350,356.50/x
  3. Step 3: Cross multiply
    237,963x = 350,356.50 × 350,356.50
  4. Step 4: Simplify right side
    237,963x = 122,749,677,092.25
  5. Step 5: Solve for x
    x = 122,749,677,092.25/237,963
  6. Step 6: Final answer
    x = 515,835.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.