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Finding the Third Proportional to 176,444 and 384,610

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Solution

The third proportional to 176,444 and 384,610 is: 838,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,444 : 384,610 = 384,610 : x
  2. Step 2: Convert to fraction form
    176,444/384,610 = 384,610/x
  3. Step 3: Cross multiply
    176,444x = 384,610 × 384,610
  4. Step 4: Simplify right side
    176,444x = 147,924,852,100
  5. Step 5: Solve for x
    x = 147,924,852,100/176,444
  6. Step 6: Final answer
    x = 838,367.14

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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.