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Finding the Third Proportional to 228,094 and 328,560

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Solution

The third proportional to 228,094 and 328,560 is: 473,277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,094 : 328,560 = 328,560 : x
  2. Step 2: Convert to fraction form
    228,094/328,560 = 328,560/x
  3. Step 3: Cross multiply
    228,094x = 328,560 × 328,560
  4. Step 4: Simplify right side
    228,094x = 107,951,673,600
  5. Step 5: Solve for x
    x = 107,951,673,600/228,094
  6. Step 6: Final answer
    x = 473,277.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.