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Finding the Third Proportional to 190,764 and 295,246

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Solution

The third proportional to 190,764 and 295,246 is: 456,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,764 : 295,246 = 295,246 : x
  2. Step 2: Convert to fraction form
    190,764/295,246 = 295,246/x
  3. Step 3: Cross multiply
    190,764x = 295,246 × 295,246
  4. Step 4: Simplify right side
    190,764x = 87,170,200,516
  5. Step 5: Solve for x
    x = 87,170,200,516/190,764
  6. Step 6: Final answer
    x = 456,953.10

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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.