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Finding the Third Proportional to 176,320 and 264,871

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Solution

The third proportional to 176,320 and 264,871 is: 397,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,320 : 264,871 = 264,871 : x
  2. Step 2: Convert to fraction form
    176,320/264,871 = 264,871/x
  3. Step 3: Cross multiply
    176,320x = 264,871 × 264,871
  4. Step 4: Simplify right side
    176,320x = 70,156,646,641
  5. Step 5: Solve for x
    x = 70,156,646,641/176,320
  6. Step 6: Final answer
    x = 397,893.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.