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Finding the Third Proportional to 164,813 and 349,858

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Solution

The third proportional to 164,813 and 349,858 is: 742,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,813 : 349,858 = 349,858 : x
  2. Step 2: Convert to fraction form
    164,813/349,858 = 349,858/x
  3. Step 3: Cross multiply
    164,813x = 349,858 × 349,858
  4. Step 4: Simplify right side
    164,813x = 122,400,620,164
  5. Step 5: Solve for x
    x = 122,400,620,164/164,813
  6. Step 6: Final answer
    x = 742,663.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.