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Finding the Third Proportional to 166,054 and 264,354

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Solution

The third proportional to 166,054 and 264,354 is: 420,845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,054 : 264,354 = 264,354 : x
  2. Step 2: Convert to fraction form
    166,054/264,354 = 264,354/x
  3. Step 3: Cross multiply
    166,054x = 264,354 × 264,354
  4. Step 4: Simplify right side
    166,054x = 69,883,037,316
  5. Step 5: Solve for x
    x = 69,883,037,316/166,054
  6. Step 6: Final answer
    x = 420,845.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.