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Finding the Third Proportional to 164,330.25 and 345,264

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Solution

The third proportional to 164,330.25 and 345,264 is: 725,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,330.25 : 345,264 = 345,264 : x
  2. Step 2: Convert to fraction form
    164,330.25/345,264 = 345,264/x
  3. Step 3: Cross multiply
    164,330.25x = 345,264 × 345,264
  4. Step 4: Simplify right side
    164,330.25x = 119,207,229,696
  5. Step 5: Solve for x
    x = 119,207,229,696/164,330.25
  6. Step 6: Final answer
    x = 725,412.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.