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Finding the Third Proportional to 176,440 and 384,600

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Solution

The third proportional to 176,440 and 384,600 is: 838,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,440 : 384,600 = 384,600 : x
  2. Step 2: Convert to fraction form
    176,440/384,600 = 384,600/x
  3. Step 3: Cross multiply
    176,440x = 384,600 × 384,600
  4. Step 4: Simplify right side
    176,440x = 147,917,160,000
  5. Step 5: Solve for x
    x = 147,917,160,000/176,440
  6. Step 6: Final answer
    x = 838,342.55

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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.