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Finding the Third Proportional to 194,767 and 292,271

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Solution

The third proportional to 194,767 and 292,271 is: 438,587.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,767 : 292,271 = 292,271 : x
  2. Step 2: Convert to fraction form
    194,767/292,271 = 292,271/x
  3. Step 3: Cross multiply
    194,767x = 292,271 × 292,271
  4. Step 4: Simplify right side
    194,767x = 85,422,337,441
  5. Step 5: Solve for x
    x = 85,422,337,441/194,767
  6. Step 6: Final answer
    x = 438,587.32

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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.