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Finding the Third Proportional to 164,472 and 352,264

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Solution

The third proportional to 164,472 and 352,264 is: 754,474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,472 : 352,264 = 352,264 : x
  2. Step 2: Convert to fraction form
    164,472/352,264 = 352,264/x
  3. Step 3: Cross multiply
    164,472x = 352,264 × 352,264
  4. Step 4: Simplify right side
    164,472x = 124,089,925,696
  5. Step 5: Solve for x
    x = 124,089,925,696/164,472
  6. Step 6: Final answer
    x = 754,474.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.