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Finding the Third Proportional to 197,748 and 306,453

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Solution

The third proportional to 197,748 and 306,453 is: 474,914.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,748 : 306,453 = 306,453 : x
  2. Step 2: Convert to fraction form
    197,748/306,453 = 306,453/x
  3. Step 3: Cross multiply
    197,748x = 306,453 × 306,453
  4. Step 4: Simplify right side
    197,748x = 93,913,441,209
  5. Step 5: Solve for x
    x = 93,913,441,209/197,748
  6. Step 6: Final answer
    x = 474,914.75

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