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Finding the Third Proportional to 164,049 and 253,332

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Solution

The third proportional to 164,049 and 253,332 is: 391,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,049 : 253,332 = 253,332 : x
  2. Step 2: Convert to fraction form
    164,049/253,332 = 253,332/x
  3. Step 3: Cross multiply
    164,049x = 253,332 × 253,332
  4. Step 4: Simplify right side
    164,049x = 64,177,102,224
  5. Step 5: Solve for x
    x = 64,177,102,224/164,049
  6. Step 6: Final answer
    x = 391,206.91

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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.