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Finding the Third Proportional to 185,028 and 292,698

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Solution

The third proportional to 185,028 and 292,698 is: 463,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,028 : 292,698 = 292,698 : x
  2. Step 2: Convert to fraction form
    185,028/292,698 = 292,698/x
  3. Step 3: Cross multiply
    185,028x = 292,698 × 292,698
  4. Step 4: Simplify right side
    185,028x = 85,672,119,204
  5. Step 5: Solve for x
    x = 85,672,119,204/185,028
  6. Step 6: Final answer
    x = 463,022.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.