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Finding the Third Proportional to 197,727.75 and 306,423

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Solution

The third proportional to 197,727.75 and 306,423 is: 474,870.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,727.75 : 306,423 = 306,423 : x
  2. Step 2: Convert to fraction form
    197,727.75/306,423 = 306,423/x
  3. Step 3: Cross multiply
    197,727.75x = 306,423 × 306,423
  4. Step 4: Simplify right side
    197,727.75x = 93,895,054,929
  5. Step 5: Solve for x
    x = 93,895,054,929/197,727.75
  6. Step 6: Final answer
    x = 474,870.40

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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.