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Finding the Third Proportional to 176,320 and 382,592

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Solution

The third proportional to 176,320 and 382,592 is: 830,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,320 : 382,592 = 382,592 : x
  2. Step 2: Convert to fraction form
    176,320/382,592 = 382,592/x
  3. Step 3: Cross multiply
    176,320x = 382,592 × 382,592
  4. Step 4: Simplify right side
    176,320x = 146,376,638,464
  5. Step 5: Solve for x
    x = 146,376,638,464/176,320
  6. Step 6: Final answer
    x = 830,176.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.