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Finding the Third Proportional to 164,726 and 360,971

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Solution

The third proportional to 164,726 and 360,971 is: 791,010.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,726 : 360,971 = 360,971 : x
  2. Step 2: Convert to fraction form
    164,726/360,971 = 360,971/x
  3. Step 3: Cross multiply
    164,726x = 360,971 × 360,971
  4. Step 4: Simplify right side
    164,726x = 130,300,062,841
  5. Step 5: Solve for x
    x = 130,300,062,841/164,726
  6. Step 6: Final answer
    x = 791,010.91

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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.