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Finding the Third Proportional to 190,769 and 295,253

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Solution

The third proportional to 190,769 and 295,253 is: 456,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,769 : 295,253 = 295,253 : x
  2. Step 2: Convert to fraction form
    190,769/295,253 = 295,253/x
  3. Step 3: Cross multiply
    190,769x = 295,253 × 295,253
  4. Step 4: Simplify right side
    190,769x = 87,174,334,009
  5. Step 5: Solve for x
    x = 87,174,334,009/190,769
  6. Step 6: Final answer
    x = 456,962.79

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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.