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Finding the Third Proportional to 185,954 and 295,507

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Solution

The third proportional to 185,954 and 295,507 is: 469,602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,954 : 295,507 = 295,507 : x
  2. Step 2: Convert to fraction form
    185,954/295,507 = 295,507/x
  3. Step 3: Cross multiply
    185,954x = 295,507 × 295,507
  4. Step 4: Simplify right side
    185,954x = 87,324,387,049
  5. Step 5: Solve for x
    x = 87,324,387,049/185,954
  6. Step 6: Final answer
    x = 469,602.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.