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Finding the Third Proportional to 194,946.75 and 420,032.25

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Solution

The third proportional to 194,946.75 and 420,032.25 is: 905,001.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,946.75 : 420,032.25 = 420,032.25 : x
  2. Step 2: Convert to fraction form
    194,946.75/420,032.25 = 420,032.25/x
  3. Step 3: Cross multiply
    194,946.75x = 420,032.25 × 420,032.25
  4. Step 4: Simplify right side
    194,946.75x = 176,427,091,040.06
  5. Step 5: Solve for x
    x = 176,427,091,040.06/194,946.75
  6. Step 6: Final answer
    x = 905,001.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.