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Finding the Third Proportional to 155,072 and 245,954

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Solution

The third proportional to 155,072 and 245,954 is: 390,098.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,072 : 245,954 = 245,954 : x
  2. Step 2: Convert to fraction form
    155,072/245,954 = 245,954/x
  3. Step 3: Cross multiply
    155,072x = 245,954 × 245,954
  4. Step 4: Simplify right side
    155,072x = 60,493,370,116
  5. Step 5: Solve for x
    x = 60,493,370,116/155,072
  6. Step 6: Final answer
    x = 390,098.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.