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Finding the Third Proportional to 164,470 and 354,318

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Solution

The third proportional to 164,470 and 354,318 is: 763,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,470 : 354,318 = 354,318 : x
  2. Step 2: Convert to fraction form
    164,470/354,318 = 354,318/x
  3. Step 3: Cross multiply
    164,470x = 354,318 × 354,318
  4. Step 4: Simplify right side
    164,470x = 125,541,245,124
  5. Step 5: Solve for x
    x = 125,541,245,124/164,470
  6. Step 6: Final answer
    x = 763,307.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.