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Finding the Third Proportional to 164,072 and 350,893

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Solution

The third proportional to 164,072 and 350,893 is: 750,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,072 : 350,893 = 350,893 : x
  2. Step 2: Convert to fraction form
    164,072/350,893 = 350,893/x
  3. Step 3: Cross multiply
    164,072x = 350,893 × 350,893
  4. Step 4: Simplify right side
    164,072x = 123,125,897,449
  5. Step 5: Solve for x
    x = 123,125,897,449/164,072
  6. Step 6: Final answer
    x = 750,438.21

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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.