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Finding the Third Proportional to 164,298 and 253,701

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Solution

The third proportional to 164,298 and 253,701 is: 391,752.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,298 : 253,701 = 253,701 : x
  2. Step 2: Convert to fraction form
    164,298/253,701 = 253,701/x
  3. Step 3: Cross multiply
    164,298x = 253,701 × 253,701
  4. Step 4: Simplify right side
    164,298x = 64,364,197,401
  5. Step 5: Solve for x
    x = 64,364,197,401/164,298
  6. Step 6: Final answer
    x = 391,752.77

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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.