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Finding the Third Proportional to 137,858 and 298,312

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Solution

The third proportional to 137,858 and 298,312 is: 645,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,858 : 298,312 = 298,312 : x
  2. Step 2: Convert to fraction form
    137,858/298,312 = 298,312/x
  3. Step 3: Cross multiply
    137,858x = 298,312 × 298,312
  4. Step 4: Simplify right side
    137,858x = 88,990,049,344
  5. Step 5: Solve for x
    x = 88,990,049,344/137,858
  6. Step 6: Final answer
    x = 645,519.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.