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Finding the Third Proportional to 187,978 and 295,332

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Solution

The third proportional to 187,978 and 295,332 is: 463,995.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,978 : 295,332 = 295,332 : x
  2. Step 2: Convert to fraction form
    187,978/295,332 = 295,332/x
  3. Step 3: Cross multiply
    187,978x = 295,332 × 295,332
  4. Step 4: Simplify right side
    187,978x = 87,220,990,224
  5. Step 5: Solve for x
    x = 87,220,990,224/187,978
  6. Step 6: Final answer
    x = 463,995.73

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.