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Finding the Third Proportional to 118,456 and 256,594

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Solution

The third proportional to 118,456 and 256,594 is: 555,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,456 : 256,594 = 256,594 : x
  2. Step 2: Convert to fraction form
    118,456/256,594 = 256,594/x
  3. Step 3: Cross multiply
    118,456x = 256,594 × 256,594
  4. Step 4: Simplify right side
    118,456x = 65,840,480,836
  5. Step 5: Solve for x
    x = 65,840,480,836/118,456
  6. Step 6: Final answer
    x = 555,822.25

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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.