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Finding the Third Proportional to 176,424 and 384,570

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Solution

The third proportional to 176,424 and 384,570 is: 838,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,424 : 384,570 = 384,570 : x
  2. Step 2: Convert to fraction form
    176,424/384,570 = 384,570/x
  3. Step 3: Cross multiply
    176,424x = 384,570 × 384,570
  4. Step 4: Simplify right side
    176,424x = 147,894,084,900
  5. Step 5: Solve for x
    x = 147,894,084,900/176,424
  6. Step 6: Final answer
    x = 838,287.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.