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Finding the Third Proportional to 163,813.78 and 350,397.84

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Solution

The third proportional to 163,813.78 and 350,397.84 is: 749,501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,813.78 : 350,397.84 = 350,397.84 : x
  2. Step 2: Convert to fraction form
    163,813.78/350,397.84 = 350,397.84/x
  3. Step 3: Cross multiply
    163,813.78x = 350,397.84 × 350,397.84
  4. Step 4: Simplify right side
    163,813.78x = 122,778,648,904.65
  5. Step 5: Solve for x
    x = 122,778,648,904.65/163,813.78
  6. Step 6: Final answer
    x = 749,501.34

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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.