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Finding the Third Proportional to 164,432 and 354,460

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Solution

The third proportional to 164,432 and 354,460 is: 764,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,432 : 354,460 = 354,460 : x
  2. Step 2: Convert to fraction form
    164,432/354,460 = 354,460/x
  3. Step 3: Cross multiply
    164,432x = 354,460 × 354,460
  4. Step 4: Simplify right side
    164,432x = 125,641,891,600
  5. Step 5: Solve for x
    x = 125,641,891,600/164,432
  6. Step 6: Final answer
    x = 764,096.35

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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.