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Finding the Third Proportional to 158,125 and 347,014

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Solution

The third proportional to 158,125 and 347,014 is: 761,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,125 : 347,014 = 347,014 : x
  2. Step 2: Convert to fraction form
    158,125/347,014 = 347,014/x
  3. Step 3: Cross multiply
    158,125x = 347,014 × 347,014
  4. Step 4: Simplify right side
    158,125x = 120,418,716,196
  5. Step 5: Solve for x
    x = 120,418,716,196/158,125
  6. Step 6: Final answer
    x = 761,541.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.