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Finding the Third Proportional to 301,738.50 and 455,682

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Solution

The third proportional to 301,738.50 and 455,682 is: 688,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,738.50 : 455,682 = 455,682 : x
  2. Step 2: Convert to fraction form
    301,738.50/455,682 = 455,682/x
  3. Step 3: Cross multiply
    301,738.50x = 455,682 × 455,682
  4. Step 4: Simplify right side
    301,738.50x = 207,646,085,124
  5. Step 5: Solve for x
    x = 207,646,085,124/301,738.50
  6. Step 6: Final answer
    x = 688,165.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.