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Finding the Third Proportional to 164,444 and 359,324

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Solution

The third proportional to 164,444 and 359,324 is: 785,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,444 : 359,324 = 359,324 : x
  2. Step 2: Convert to fraction form
    164,444/359,324 = 359,324/x
  3. Step 3: Cross multiply
    164,444x = 359,324 × 359,324
  4. Step 4: Simplify right side
    164,444x = 129,113,736,976
  5. Step 5: Solve for x
    x = 129,113,736,976/164,444
  6. Step 6: Final answer
    x = 785,153.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.