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Finding the Third Proportional to 152,010 and 351,866

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Solution

The third proportional to 152,010 and 351,866 is: 814,483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,010 : 351,866 = 351,866 : x
  2. Step 2: Convert to fraction form
    152,010/351,866 = 351,866/x
  3. Step 3: Cross multiply
    152,010x = 351,866 × 351,866
  4. Step 4: Simplify right side
    152,010x = 123,809,681,956
  5. Step 5: Solve for x
    x = 123,809,681,956/152,010
  6. Step 6: Final answer
    x = 814,483.80

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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.