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Finding the Third Proportional to 185,903 and 295,459

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Solution

The third proportional to 185,903 and 295,459 is: 469,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,903 : 295,459 = 295,459 : x
  2. Step 2: Convert to fraction form
    185,903/295,459 = 295,459/x
  3. Step 3: Cross multiply
    185,903x = 295,459 × 295,459
  4. Step 4: Simplify right side
    185,903x = 87,296,020,681
  5. Step 5: Solve for x
    x = 87,296,020,681/185,903
  6. Step 6: Final answer
    x = 469,578.33

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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.