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Finding the Third Proportional to 164,314 and 253,716

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Solution

The third proportional to 164,314 and 253,716 is: 391,760.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,314 : 253,716 = 253,716 : x
  2. Step 2: Convert to fraction form
    164,314/253,716 = 253,716/x
  3. Step 3: Cross multiply
    164,314x = 253,716 × 253,716
  4. Step 4: Simplify right side
    164,314x = 64,371,808,656
  5. Step 5: Solve for x
    x = 64,371,808,656/164,314
  6. Step 6: Final answer
    x = 391,760.95

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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.