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Finding the Third Proportional to 185,490 and 251,964

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Solution

The third proportional to 185,490 and 251,964 is: 342,260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,490 : 251,964 = 251,964 : x
  2. Step 2: Convert to fraction form
    185,490/251,964 = 251,964/x
  3. Step 3: Cross multiply
    185,490x = 251,964 × 251,964
  4. Step 4: Simplify right side
    185,490x = 63,485,857,296
  5. Step 5: Solve for x
    x = 63,485,857,296/185,490
  6. Step 6: Final answer
    x = 342,260.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.