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Finding the Third Proportional to 188,253 and 282,795.75

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Solution

The third proportional to 188,253 and 282,795.75 is: 424,818.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,253 : 282,795.75 = 282,795.75 : x
  2. Step 2: Convert to fraction form
    188,253/282,795.75 = 282,795.75/x
  3. Step 3: Cross multiply
    188,253x = 282,795.75 × 282,795.75
  4. Step 4: Simplify right side
    188,253x = 79,973,436,218.06
  5. Step 5: Solve for x
    x = 79,973,436,218.06/188,253
  6. Step 6: Final answer
    x = 424,818.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.