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Finding the Third Proportional to 124,664 and 296,348

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Solution

The third proportional to 124,664 and 296,348 is: 704,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,664 : 296,348 = 296,348 : x
  2. Step 2: Convert to fraction form
    124,664/296,348 = 296,348/x
  3. Step 3: Cross multiply
    124,664x = 296,348 × 296,348
  4. Step 4: Simplify right side
    124,664x = 87,822,137,104
  5. Step 5: Solve for x
    x = 87,822,137,104/124,664
  6. Step 6: Final answer
    x = 704,470.71

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.