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Finding the Third Proportional to 144,402 and 334,269

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Solution

The third proportional to 144,402 and 334,269 is: 773,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,402 : 334,269 = 334,269 : x
  2. Step 2: Convert to fraction form
    144,402/334,269 = 334,269/x
  3. Step 3: Cross multiply
    144,402x = 334,269 × 334,269
  4. Step 4: Simplify right side
    144,402x = 111,735,764,361
  5. Step 5: Solve for x
    x = 111,735,764,361/144,402
  6. Step 6: Final answer
    x = 773,782.66

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.