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Finding the Third Proportional to 164,471.63 and 341,871.75

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Solution

The third proportional to 164,471.63 and 341,871.75 is: 710,616.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,471.63 : 341,871.75 = 341,871.75 : x
  2. Step 2: Convert to fraction form
    164,471.63/341,871.75 = 341,871.75/x
  3. Step 3: Cross multiply
    164,471.63x = 341,871.75 × 341,871.75
  4. Step 4: Simplify right side
    164,471.63x = 116,876,293,448.06
  5. Step 5: Solve for x
    x = 116,876,293,448.06/164,471.63
  6. Step 6: Final answer
    x = 710,616.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.