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Finding the Third Proportional to 152,027 and 210,634

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Solution

The third proportional to 152,027 and 210,634 is: 291,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,027 : 210,634 = 210,634 : x
  2. Step 2: Convert to fraction form
    152,027/210,634 = 210,634/x
  3. Step 3: Cross multiply
    152,027x = 210,634 × 210,634
  4. Step 4: Simplify right side
    152,027x = 44,366,681,956
  5. Step 5: Solve for x
    x = 44,366,681,956/152,027
  6. Step 6: Final answer
    x = 291,834.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.