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Finding the Third Proportional to 163,819.13 and 350,416.13

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Solution

The third proportional to 163,819.13 and 350,416.13 is: 749,555.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,819.13 : 350,416.13 = 350,416.13 : x
  2. Step 2: Convert to fraction form
    163,819.13/350,416.13 = 350,416.13/x
  3. Step 3: Cross multiply
    163,819.13x = 350,416.13 × 350,416.13
  4. Step 4: Simplify right side
    163,819.13x = 122,791,460,660.02
  5. Step 5: Solve for x
    x = 122,791,460,660.02/163,819.13
  6. Step 6: Final answer
    x = 749,555.10

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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.