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Finding the Third Proportional to 163,460 and 350,248

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Solution

The third proportional to 163,460 and 350,248 is: 750,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,460 : 350,248 = 350,248 : x
  2. Step 2: Convert to fraction form
    163,460/350,248 = 350,248/x
  3. Step 3: Cross multiply
    163,460x = 350,248 × 350,248
  4. Step 4: Simplify right side
    163,460x = 122,673,661,504
  5. Step 5: Solve for x
    x = 122,673,661,504/163,460
  6. Step 6: Final answer
    x = 750,481.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.