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Finding the Third Proportional to 188,946 and 264,159

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Solution

The third proportional to 188,946 and 264,159 is: 369,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,946 : 264,159 = 264,159 : x
  2. Step 2: Convert to fraction form
    188,946/264,159 = 264,159/x
  3. Step 3: Cross multiply
    188,946x = 264,159 × 264,159
  4. Step 4: Simplify right side
    188,946x = 69,779,977,281
  5. Step 5: Solve for x
    x = 69,779,977,281/188,946
  6. Step 6: Final answer
    x = 369,311.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.