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Finding the Third Proportional to 176,468 and 385,576

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Solution

The third proportional to 176,468 and 385,576 is: 842,469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,468 : 385,576 = 385,576 : x
  2. Step 2: Convert to fraction form
    176,468/385,576 = 385,576/x
  3. Step 3: Cross multiply
    176,468x = 385,576 × 385,576
  4. Step 4: Simplify right side
    176,468x = 148,668,851,776
  5. Step 5: Solve for x
    x = 148,668,851,776/176,468
  6. Step 6: Final answer
    x = 842,469.18

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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.