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Finding the Third Proportional to 190,479 and 301,356

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Solution

The third proportional to 190,479 and 301,356 is: 476,774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,479 : 301,356 = 301,356 : x
  2. Step 2: Convert to fraction form
    190,479/301,356 = 301,356/x
  3. Step 3: Cross multiply
    190,479x = 301,356 × 301,356
  4. Step 4: Simplify right side
    190,479x = 90,815,438,736
  5. Step 5: Solve for x
    x = 90,815,438,736/190,479
  6. Step 6: Final answer
    x = 476,774.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.