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Finding the Third Proportional to 176,496 and 382,644

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Solution

The third proportional to 176,496 and 382,644 is: 829,573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,496 : 382,644 = 382,644 : x
  2. Step 2: Convert to fraction form
    176,496/382,644 = 382,644/x
  3. Step 3: Cross multiply
    176,496x = 382,644 × 382,644
  4. Step 4: Simplify right side
    176,496x = 146,416,430,736
  5. Step 5: Solve for x
    x = 146,416,430,736/176,496
  6. Step 6: Final answer
    x = 829,573.65

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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.