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Finding the Third Proportional to 163,595 and 350,518

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Solution

The third proportional to 163,595 and 350,518 is: 751,018.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,595 : 350,518 = 350,518 : x
  2. Step 2: Convert to fraction form
    163,595/350,518 = 350,518/x
  3. Step 3: Cross multiply
    163,595x = 350,518 × 350,518
  4. Step 4: Simplify right side
    163,595x = 122,862,868,324
  5. Step 5: Solve for x
    x = 122,862,868,324/163,595
  6. Step 6: Final answer
    x = 751,018.48

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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.