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Finding the Third Proportional to 194,128 and 292,560

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Solution

The third proportional to 194,128 and 292,560 is: 440,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,128 : 292,560 = 292,560 : x
  2. Step 2: Convert to fraction form
    194,128/292,560 = 292,560/x
  3. Step 3: Cross multiply
    194,128x = 292,560 × 292,560
  4. Step 4: Simplify right side
    194,128x = 85,591,353,600
  5. Step 5: Solve for x
    x = 85,591,353,600/194,128
  6. Step 6: Final answer
    x = 440,901.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.