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Finding the Third Proportional to 140,248 and 306,196

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Solution

The third proportional to 140,248 and 306,196 is: 668,501.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,248 : 306,196 = 306,196 : x
  2. Step 2: Convert to fraction form
    140,248/306,196 = 306,196/x
  3. Step 3: Cross multiply
    140,248x = 306,196 × 306,196
  4. Step 4: Simplify right side
    140,248x = 93,755,990,416
  5. Step 5: Solve for x
    x = 93,755,990,416/140,248
  6. Step 6: Final answer
    x = 668,501.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.