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Finding the Third Proportional to 195,370.50 and 304,470

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Solution

The third proportional to 195,370.50 and 304,470 is: 474,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,370.50 : 304,470 = 304,470 : x
  2. Step 2: Convert to fraction form
    195,370.50/304,470 = 304,470/x
  3. Step 3: Cross multiply
    195,370.50x = 304,470 × 304,470
  4. Step 4: Simplify right side
    195,370.50x = 92,701,980,900
  5. Step 5: Solve for x
    x = 92,701,980,900/195,370.50
  6. Step 6: Final answer
    x = 474,493.24

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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.