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Finding the Third Proportional to 190,762.75 and 295,244.38

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Solution

The third proportional to 190,762.75 and 295,244.38 is: 456,951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,762.75 : 295,244.38 = 295,244.38 : x
  2. Step 2: Convert to fraction form
    190,762.75/295,244.38 = 295,244.38/x
  3. Step 3: Cross multiply
    190,762.75x = 295,244.38 × 295,244.38
  4. Step 4: Simplify right side
    190,762.75x = 87,169,240,969.14
  5. Step 5: Solve for x
    x = 87,169,240,969.14/190,762.75
  6. Step 6: Final answer
    x = 456,951.06

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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.