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Finding the Third Proportional to 164,440 and 354,472

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Solution

The third proportional to 164,440 and 354,472 is: 764,110.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,440 : 354,472 = 354,472 : x
  2. Step 2: Convert to fraction form
    164,440/354,472 = 354,472/x
  3. Step 3: Cross multiply
    164,440x = 354,472 × 354,472
  4. Step 4: Simplify right side
    164,440x = 125,650,398,784
  5. Step 5: Solve for x
    x = 125,650,398,784/164,440
  6. Step 6: Final answer
    x = 764,110.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.