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Finding the Third Proportional to 163,823.63 and 350,424

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Solution

The third proportional to 163,823.63 and 350,424 is: 749,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,823.63 : 350,424 = 350,424 : x
  2. Step 2: Convert to fraction form
    163,823.63/350,424 = 350,424/x
  3. Step 3: Cross multiply
    163,823.63x = 350,424 × 350,424
  4. Step 4: Simplify right side
    163,823.63x = 122,796,979,776
  5. Step 5: Solve for x
    x = 122,796,979,776/163,823.63
  6. Step 6: Final answer
    x = 749,568.20

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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.