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Finding the Third Proportional to 158,817 and 349,119.75

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Solution

The third proportional to 158,817 and 349,119.75 is: 767,453.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,817 : 349,119.75 = 349,119.75 : x
  2. Step 2: Convert to fraction form
    158,817/349,119.75 = 349,119.75/x
  3. Step 3: Cross multiply
    158,817x = 349,119.75 × 349,119.75
  4. Step 4: Simplify right side
    158,817x = 121,884,599,840.06
  5. Step 5: Solve for x
    x = 121,884,599,840.06/158,817
  6. Step 6: Final answer
    x = 767,453.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.