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Finding the Third Proportional to 194,838 and 304,560

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Solution

The third proportional to 194,838 and 304,560 is: 476,071.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,838 : 304,560 = 304,560 : x
  2. Step 2: Convert to fraction form
    194,838/304,560 = 304,560/x
  3. Step 3: Cross multiply
    194,838x = 304,560 × 304,560
  4. Step 4: Simplify right side
    194,838x = 92,756,793,600
  5. Step 5: Solve for x
    x = 92,756,793,600/194,838
  6. Step 6: Final answer
    x = 476,071.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.