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Finding the Third Proportional to 191,094 and 408,972

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Solution

The third proportional to 191,094 and 408,972 is: 875,266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,094 : 408,972 = 408,972 : x
  2. Step 2: Convert to fraction form
    191,094/408,972 = 408,972/x
  3. Step 3: Cross multiply
    191,094x = 408,972 × 408,972
  4. Step 4: Simplify right side
    191,094x = 167,258,096,784
  5. Step 5: Solve for x
    x = 167,258,096,784/191,094
  6. Step 6: Final answer
    x = 875,266.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.