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Finding the Third Proportional to 194,840.44 and 292,830.19

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Solution

The third proportional to 194,840.44 and 292,830.19 is: 440,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,840.44 : 292,830.19 = 292,830.19 : x
  2. Step 2: Convert to fraction form
    194,840.44/292,830.19 = 292,830.19/x
  3. Step 3: Cross multiply
    194,840.44x = 292,830.19 × 292,830.19
  4. Step 4: Simplify right side
    194,840.44x = 85,749,518,711.29
  5. Step 5: Solve for x
    x = 85,749,518,711.29/194,840.44
  6. Step 6: Final answer
    x = 440,101.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.