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Finding the Third Proportional to 292,116 and 462,163

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Solution

The third proportional to 292,116 and 462,163 is: 731,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,116 : 462,163 = 462,163 : x
  2. Step 2: Convert to fraction form
    292,116/462,163 = 462,163/x
  3. Step 3: Cross multiply
    292,116x = 462,163 × 462,163
  4. Step 4: Simplify right side
    292,116x = 213,594,638,569
  5. Step 5: Solve for x
    x = 213,594,638,569/292,116
  6. Step 6: Final answer
    x = 731,198.01

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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.