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Finding the Third Proportional to 166,191.19 and 273,038.34

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Solution

The third proportional to 166,191.19 and 273,038.34 is: 448,579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,191.19 : 273,038.34 = 273,038.34 : x
  2. Step 2: Convert to fraction form
    166,191.19/273,038.34 = 273,038.34/x
  3. Step 3: Cross multiply
    166,191.19x = 273,038.34 × 273,038.34
  4. Step 4: Simplify right side
    166,191.19x = 74,549,937,157.74
  5. Step 5: Solve for x
    x = 74,549,937,157.74/166,191.19
  6. Step 6: Final answer
    x = 448,579.36

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.