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Finding the Third Proportional to 122,478 and 265,044

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Solution

The third proportional to 122,478 and 265,044 is: 573,558.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,478 : 265,044 = 265,044 : x
  2. Step 2: Convert to fraction form
    122,478/265,044 = 265,044/x
  3. Step 3: Cross multiply
    122,478x = 265,044 × 265,044
  4. Step 4: Simplify right side
    122,478x = 70,248,321,936
  5. Step 5: Solve for x
    x = 70,248,321,936/122,478
  6. Step 6: Final answer
    x = 573,558.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.