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Finding the Third Proportional to 133,209 and 197,784

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Solution

The third proportional to 133,209 and 197,784 is: 293,662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,209 : 197,784 = 197,784 : x
  2. Step 2: Convert to fraction form
    133,209/197,784 = 197,784/x
  3. Step 3: Cross multiply
    133,209x = 197,784 × 197,784
  4. Step 4: Simplify right side
    133,209x = 39,118,510,656
  5. Step 5: Solve for x
    x = 39,118,510,656/133,209
  6. Step 6: Final answer
    x = 293,662.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.