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Finding the Third Proportional to 158,969 and 240,073

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Solution

The third proportional to 158,969 and 240,073 is: 362,555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,969 : 240,073 = 240,073 : x
  2. Step 2: Convert to fraction form
    158,969/240,073 = 240,073/x
  3. Step 3: Cross multiply
    158,969x = 240,073 × 240,073
  4. Step 4: Simplify right side
    158,969x = 57,635,045,329
  5. Step 5: Solve for x
    x = 57,635,045,329/158,969
  6. Step 6: Final answer
    x = 362,555.25

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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.