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Finding the Third Proportional to 170,232 and 369,954

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Solution

The third proportional to 170,232 and 369,954 is: 803,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,232 : 369,954 = 369,954 : x
  2. Step 2: Convert to fraction form
    170,232/369,954 = 369,954/x
  3. Step 3: Cross multiply
    170,232x = 369,954 × 369,954
  4. Step 4: Simplify right side
    170,232x = 136,865,962,116
  5. Step 5: Solve for x
    x = 136,865,962,116/170,232
  6. Step 6: Final answer
    x = 803,996.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.