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Finding the Third Proportional to 179,024 and 390,002

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Solution

The third proportional to 179,024 and 390,002 is: 849,615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,024 : 390,002 = 390,002 : x
  2. Step 2: Convert to fraction form
    179,024/390,002 = 390,002/x
  3. Step 3: Cross multiply
    179,024x = 390,002 × 390,002
  4. Step 4: Simplify right side
    179,024x = 152,101,560,004
  5. Step 5: Solve for x
    x = 152,101,560,004/179,024
  6. Step 6: Final answer
    x = 849,615.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.