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Finding the Third Proportional to 194,948 and 418,904

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Solution

The third proportional to 194,948 and 418,904 is: 900,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,948 : 418,904 = 418,904 : x
  2. Step 2: Convert to fraction form
    194,948/418,904 = 418,904/x
  3. Step 3: Cross multiply
    194,948x = 418,904 × 418,904
  4. Step 4: Simplify right side
    194,948x = 175,480,561,216
  5. Step 5: Solve for x
    x = 175,480,561,216/194,948
  6. Step 6: Final answer
    x = 900,140.35

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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.