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Finding the Third Proportional to 158,133 and 347,028

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Solution

The third proportional to 158,133 and 347,028 is: 761,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,133 : 347,028 = 347,028 : x
  2. Step 2: Convert to fraction form
    158,133/347,028 = 347,028/x
  3. Step 3: Cross multiply
    158,133x = 347,028 × 347,028
  4. Step 4: Simplify right side
    158,133x = 120,428,432,784
  5. Step 5: Solve for x
    x = 120,428,432,784/158,133
  6. Step 6: Final answer
    x = 761,564.21

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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.