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Finding the Third Proportional to 112,754 and 228,604

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Solution

The third proportional to 112,754 and 228,604 is: 463,485.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,754 : 228,604 = 228,604 : x
  2. Step 2: Convert to fraction form
    112,754/228,604 = 228,604/x
  3. Step 3: Cross multiply
    112,754x = 228,604 × 228,604
  4. Step 4: Simplify right side
    112,754x = 52,259,788,816
  5. Step 5: Solve for x
    x = 52,259,788,816/112,754
  6. Step 6: Final answer
    x = 463,485.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.