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Finding the Third Proportional to 237,902.50 and 350,282

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Solution

The third proportional to 237,902.50 and 350,282 is: 515,746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,902.50 : 350,282 = 350,282 : x
  2. Step 2: Convert to fraction form
    237,902.50/350,282 = 350,282/x
  3. Step 3: Cross multiply
    237,902.50x = 350,282 × 350,282
  4. Step 4: Simplify right side
    237,902.50x = 122,697,479,524
  5. Step 5: Solve for x
    x = 122,697,479,524/237,902.50
  6. Step 6: Final answer
    x = 515,746.91

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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.