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Finding the Third Proportional to 164,084 and 253,126

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Solution

The third proportional to 164,084 and 253,126 is: 390,487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,084 : 253,126 = 253,126 : x
  2. Step 2: Convert to fraction form
    164,084/253,126 = 253,126/x
  3. Step 3: Cross multiply
    164,084x = 253,126 × 253,126
  4. Step 4: Simplify right side
    164,084x = 64,072,771,876
  5. Step 5: Solve for x
    x = 64,072,771,876/164,084
  6. Step 6: Final answer
    x = 390,487.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.