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Finding the Third Proportional to 167,072 and 360,412

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Solution

The third proportional to 167,072 and 360,412 is: 777,490.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,072 : 360,412 = 360,412 : x
  2. Step 2: Convert to fraction form
    167,072/360,412 = 360,412/x
  3. Step 3: Cross multiply
    167,072x = 360,412 × 360,412
  4. Step 4: Simplify right side
    167,072x = 129,896,809,744
  5. Step 5: Solve for x
    x = 129,896,809,744/167,072
  6. Step 6: Final answer
    x = 777,490.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.