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Finding the Third Proportional to 150,060 and 328,004

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Solution

The third proportional to 150,060 and 328,004 is: 716,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,060 : 328,004 = 328,004 : x
  2. Step 2: Convert to fraction form
    150,060/328,004 = 328,004/x
  3. Step 3: Cross multiply
    150,060x = 328,004 × 328,004
  4. Step 4: Simplify right side
    150,060x = 107,586,624,016
  5. Step 5: Solve for x
    x = 107,586,624,016/150,060
  6. Step 6: Final answer
    x = 716,957.38

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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.