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Finding the Third Proportional to 163,813.22 and 350,396.72

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Solution

The third proportional to 163,813.22 and 350,396.72 is: 749,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,813.22 : 350,396.72 = 350,396.72 : x
  2. Step 2: Convert to fraction form
    163,813.22/350,396.72 = 350,396.72/x
  3. Step 3: Cross multiply
    163,813.22x = 350,396.72 × 350,396.72
  4. Step 4: Simplify right side
    163,813.22x = 122,777,860,510.77
  5. Step 5: Solve for x
    x = 122,777,860,510.77/163,813.22
  6. Step 6: Final answer
    x = 749,499.10

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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.