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Finding the Third Proportional to 228,085 and 328,548

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Solution

The third proportional to 228,085 and 328,548 is: 473,261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,085 : 328,548 = 328,548 : x
  2. Step 2: Convert to fraction form
    228,085/328,548 = 328,548/x
  3. Step 3: Cross multiply
    228,085x = 328,548 × 328,548
  4. Step 4: Simplify right side
    228,085x = 107,943,788,304
  5. Step 5: Solve for x
    x = 107,943,788,304/228,085
  6. Step 6: Final answer
    x = 473,261.23

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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.