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Finding the Third Proportional to 173,929.78 and 248,056.17

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Solution

The third proportional to 173,929.78 and 248,056.17 is: 353,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,929.78 : 248,056.17 = 248,056.17 : x
  2. Step 2: Convert to fraction form
    173,929.78/248,056.17 = 248,056.17/x
  3. Step 3: Cross multiply
    173,929.78x = 248,056.17 × 248,056.17
  4. Step 4: Simplify right side
    173,929.78x = 61,531,864,405.28
  5. Step 5: Solve for x
    x = 61,531,864,405.28/173,929.78
  6. Step 6: Final answer
    x = 353,774.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.