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Finding the Third Proportional to 176,588 and 382,512

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Solution

The third proportional to 176,588 and 382,512 is: 828,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,588 : 382,512 = 382,512 : x
  2. Step 2: Convert to fraction form
    176,588/382,512 = 382,512/x
  3. Step 3: Cross multiply
    176,588x = 382,512 × 382,512
  4. Step 4: Simplify right side
    176,588x = 146,315,430,144
  5. Step 5: Solve for x
    x = 146,315,430,144/176,588
  6. Step 6: Final answer
    x = 828,569.50

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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.