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Finding the Third Proportional to 158,949 and 240,043

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Solution

The third proportional to 158,949 and 240,043 is: 362,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,949 : 240,043 = 240,043 : x
  2. Step 2: Convert to fraction form
    158,949/240,043 = 240,043/x
  3. Step 3: Cross multiply
    158,949x = 240,043 × 240,043
  4. Step 4: Simplify right side
    158,949x = 57,620,641,849
  5. Step 5: Solve for x
    x = 57,620,641,849/158,949
  6. Step 6: Final answer
    x = 362,510.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.