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Finding the Third Proportional to 197,552 and 306,357

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Solution

The third proportional to 197,552 and 306,357 is: 475,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,552 : 306,357 = 306,357 : x
  2. Step 2: Convert to fraction form
    197,552/306,357 = 306,357/x
  3. Step 3: Cross multiply
    197,552x = 306,357 × 306,357
  4. Step 4: Simplify right side
    197,552x = 93,854,611,449
  5. Step 5: Solve for x
    x = 93,854,611,449/197,552
  6. Step 6: Final answer
    x = 475,088.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.