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Finding the Third Proportional to 190,782 and 295,148

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Solution

The third proportional to 190,782 and 295,148 is: 456,606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,782 : 295,148 = 295,148 : x
  2. Step 2: Convert to fraction form
    190,782/295,148 = 295,148/x
  3. Step 3: Cross multiply
    190,782x = 295,148 × 295,148
  4. Step 4: Simplify right side
    190,782x = 87,112,341,904
  5. Step 5: Solve for x
    x = 87,112,341,904/190,782
  6. Step 6: Final answer
    x = 456,606.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.