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Finding the Third Proportional to 158,930 and 240,014

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Solution

The third proportional to 158,930 and 240,014 is: 362,465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,930 : 240,014 = 240,014 : x
  2. Step 2: Convert to fraction form
    158,930/240,014 = 240,014/x
  3. Step 3: Cross multiply
    158,930x = 240,014 × 240,014
  4. Step 4: Simplify right side
    158,930x = 57,606,720,196
  5. Step 5: Solve for x
    x = 57,606,720,196/158,930
  6. Step 6: Final answer
    x = 362,465.99

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