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Finding the Third Proportional to 163,972 and 353,094

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Solution

The third proportional to 163,972 and 353,094 is: 760,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,972 : 353,094 = 353,094 : x
  2. Step 2: Convert to fraction form
    163,972/353,094 = 353,094/x
  3. Step 3: Cross multiply
    163,972x = 353,094 × 353,094
  4. Step 4: Simplify right side
    163,972x = 124,675,372,836
  5. Step 5: Solve for x
    x = 124,675,372,836/163,972
  6. Step 6: Final answer
    x = 760,345.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.