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Finding the Third Proportional to 118,094 and 256,924

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Solution

The third proportional to 118,094 and 256,924 is: 558,961.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,094 : 256,924 = 256,924 : x
  2. Step 2: Convert to fraction form
    118,094/256,924 = 256,924/x
  3. Step 3: Cross multiply
    118,094x = 256,924 × 256,924
  4. Step 4: Simplify right side
    118,094x = 66,009,941,776
  5. Step 5: Solve for x
    x = 66,009,941,776/118,094
  6. Step 6: Final answer
    x = 558,961.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.