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Finding the Third Proportional to 176,454 and 382,554

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Solution

The third proportional to 176,454 and 382,554 is: 829,380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,454 : 382,554 = 382,554 : x
  2. Step 2: Convert to fraction form
    176,454/382,554 = 382,554/x
  3. Step 3: Cross multiply
    176,454x = 382,554 × 382,554
  4. Step 4: Simplify right side
    176,454x = 146,347,562,916
  5. Step 5: Solve for x
    x = 146,347,562,916/176,454
  6. Step 6: Final answer
    x = 829,380.82

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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.