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Finding the Third Proportional to 193,284 and 282,510

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Solution

The third proportional to 193,284 and 282,510 is: 412,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,284 : 282,510 = 282,510 : x
  2. Step 2: Convert to fraction form
    193,284/282,510 = 282,510/x
  3. Step 3: Cross multiply
    193,284x = 282,510 × 282,510
  4. Step 4: Simplify right side
    193,284x = 79,811,900,100
  5. Step 5: Solve for x
    x = 79,811,900,100/193,284
  6. Step 6: Final answer
    x = 412,925.54

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Why These Related Problems?

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