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Finding the Third Proportional to 164,470 and 360,348

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Solution

The third proportional to 164,470 and 360,348 is: 789,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,470 : 360,348 = 360,348 : x
  2. Step 2: Convert to fraction form
    164,470/360,348 = 360,348/x
  3. Step 3: Cross multiply
    164,470x = 360,348 × 360,348
  4. Step 4: Simplify right side
    164,470x = 129,850,681,104
  5. Step 5: Solve for x
    x = 129,850,681,104/164,470
  6. Step 6: Final answer
    x = 789,509.83

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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.