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Finding the Third Proportional to 176,320 and 362,024

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Solution

The third proportional to 176,320 and 362,024 is: 743,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,320 : 362,024 = 362,024 : x
  2. Step 2: Convert to fraction form
    176,320/362,024 = 362,024/x
  3. Step 3: Cross multiply
    176,320x = 362,024 × 362,024
  4. Step 4: Simplify right side
    176,320x = 131,061,376,576
  5. Step 5: Solve for x
    x = 131,061,376,576/176,320
  6. Step 6: Final answer
    x = 743,315.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.