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Finding the Third Proportional to 236,169 and 369,414

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Solution

The third proportional to 236,169 and 369,414 is: 577,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,169 : 369,414 = 369,414 : x
  2. Step 2: Convert to fraction form
    236,169/369,414 = 369,414/x
  3. Step 3: Cross multiply
    236,169x = 369,414 × 369,414
  4. Step 4: Simplify right side
    236,169x = 136,466,703,396
  5. Step 5: Solve for x
    x = 136,466,703,396/236,169
  6. Step 6: Final answer
    x = 577,834.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.