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Finding the Third Proportional to 164,726 and 360,970

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Solution

The third proportional to 164,726 and 360,970 is: 791,006.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,726 : 360,970 = 360,970 : x
  2. Step 2: Convert to fraction form
    164,726/360,970 = 360,970/x
  3. Step 3: Cross multiply
    164,726x = 360,970 × 360,970
  4. Step 4: Simplify right side
    164,726x = 130,299,340,900
  5. Step 5: Solve for x
    x = 130,299,340,900/164,726
  6. Step 6: Final answer
    x = 791,006.53

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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.