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Finding the Third Proportional to 152,023 and 351,897

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Solution

The third proportional to 152,023 and 351,897 is: 814,557.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,023 : 351,897 = 351,897 : x
  2. Step 2: Convert to fraction form
    152,023/351,897 = 351,897/x
  3. Step 3: Cross multiply
    152,023x = 351,897 × 351,897
  4. Step 4: Simplify right side
    152,023x = 123,831,498,609
  5. Step 5: Solve for x
    x = 123,831,498,609/152,023
  6. Step 6: Final answer
    x = 814,557.66

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.