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Finding the Third Proportional to 190,252 and 292,536

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Solution

The third proportional to 190,252 and 292,536 is: 449,810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,252 : 292,536 = 292,536 : x
  2. Step 2: Convert to fraction form
    190,252/292,536 = 292,536/x
  3. Step 3: Cross multiply
    190,252x = 292,536 × 292,536
  4. Step 4: Simplify right side
    190,252x = 85,577,311,296
  5. Step 5: Solve for x
    x = 85,577,311,296/190,252
  6. Step 6: Final answer
    x = 449,810.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.