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Finding the Third Proportional to 122,297 and 265,548

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Solution

The third proportional to 122,297 and 265,548 is: 576,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,297 : 265,548 = 265,548 : x
  2. Step 2: Convert to fraction form
    122,297/265,548 = 265,548/x
  3. Step 3: Cross multiply
    122,297x = 265,548 × 265,548
  4. Step 4: Simplify right side
    122,297x = 70,515,740,304
  5. Step 5: Solve for x
    x = 70,515,740,304/122,297
  6. Step 6: Final answer
    x = 576,594.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.