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Finding the Third Proportional to 140,454 and 308,124

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Solution

The third proportional to 140,454 and 308,124 is: 675,953.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,454 : 308,124 = 308,124 : x
  2. Step 2: Convert to fraction form
    140,454/308,124 = 308,124/x
  3. Step 3: Cross multiply
    140,454x = 308,124 × 308,124
  4. Step 4: Simplify right side
    140,454x = 94,940,399,376
  5. Step 5: Solve for x
    x = 94,940,399,376/140,454
  6. Step 6: Final answer
    x = 675,953.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.