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Finding the Third Proportional to 116,724 and 256,307

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Solution

The third proportional to 116,724 and 256,307 is: 562,808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,724 : 256,307 = 256,307 : x
  2. Step 2: Convert to fraction form
    116,724/256,307 = 256,307/x
  3. Step 3: Cross multiply
    116,724x = 256,307 × 256,307
  4. Step 4: Simplify right side
    116,724x = 65,693,278,249
  5. Step 5: Solve for x
    x = 65,693,278,249/116,724
  6. Step 6: Final answer
    x = 562,808.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.