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Finding the Third Proportional to 210,152 and 456,027

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Solution

The third proportional to 210,152 and 456,027 is: 989,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,152 : 456,027 = 456,027 : x
  2. Step 2: Convert to fraction form
    210,152/456,027 = 456,027/x
  3. Step 3: Cross multiply
    210,152x = 456,027 × 456,027
  4. Step 4: Simplify right side
    210,152x = 207,960,624,729
  5. Step 5: Solve for x
    x = 207,960,624,729/210,152
  6. Step 6: Final answer
    x = 989,572.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.