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Finding the Third Proportional to 187,002 and 385,030

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Solution

The third proportional to 187,002 and 385,030 is: 792,762.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,002 : 385,030 = 385,030 : x
  2. Step 2: Convert to fraction form
    187,002/385,030 = 385,030/x
  3. Step 3: Cross multiply
    187,002x = 385,030 × 385,030
  4. Step 4: Simplify right side
    187,002x = 148,248,100,900
  5. Step 5: Solve for x
    x = 148,248,100,900/187,002
  6. Step 6: Final answer
    x = 792,762.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.