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Finding the Third Proportional to 292,138 and 462,195

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Solution

The third proportional to 292,138 and 462,195 is: 731,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,138 : 462,195 = 462,195 : x
  2. Step 2: Convert to fraction form
    292,138/462,195 = 462,195/x
  3. Step 3: Cross multiply
    292,138x = 462,195 × 462,195
  4. Step 4: Simplify right side
    292,138x = 213,624,218,025
  5. Step 5: Solve for x
    x = 213,624,218,025/292,138
  6. Step 6: Final answer
    x = 731,244.20

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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.