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Finding the Third Proportional to 199,395 and 306,483

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Solution

The third proportional to 199,395 and 306,483 is: 471,084.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,395 : 306,483 = 306,483 : x
  2. Step 2: Convert to fraction form
    199,395/306,483 = 306,483/x
  3. Step 3: Cross multiply
    199,395x = 306,483 × 306,483
  4. Step 4: Simplify right side
    199,395x = 93,931,829,289
  5. Step 5: Solve for x
    x = 93,931,829,289/199,395
  6. Step 6: Final answer
    x = 471,084.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.