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Finding the Third Proportional to 118,946 and 256,460

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Solution

The third proportional to 118,946 and 256,460 is: 552,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,946 : 256,460 = 256,460 : x
  2. Step 2: Convert to fraction form
    118,946/256,460 = 256,460/x
  3. Step 3: Cross multiply
    118,946x = 256,460 × 256,460
  4. Step 4: Simplify right side
    118,946x = 65,771,731,600
  5. Step 5: Solve for x
    x = 65,771,731,600/118,946
  6. Step 6: Final answer
    x = 552,954.55

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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.