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Finding the Third Proportional to 192,774.94 and 301,464.28

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Solution

The third proportional to 192,774.94 and 301,464.28 is: 471,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,774.94 : 301,464.28 = 301,464.28 : x
  2. Step 2: Convert to fraction form
    192,774.94/301,464.28 = 301,464.28/x
  3. Step 3: Cross multiply
    192,774.94x = 301,464.28 × 301,464.28
  4. Step 4: Simplify right side
    192,774.94x = 90,880,712,869.58
  5. Step 5: Solve for x
    x = 90,880,712,869.58/192,774.94
  6. Step 6: Final answer
    x = 471,434.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.