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Finding the Third Proportional to 185,004 and 256,203

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Solution

The third proportional to 185,004 and 256,203 is: 354,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,004 : 256,203 = 256,203 : x
  2. Step 2: Convert to fraction form
    185,004/256,203 = 256,203/x
  3. Step 3: Cross multiply
    185,004x = 256,203 × 256,203
  4. Step 4: Simplify right side
    185,004x = 65,639,977,209
  5. Step 5: Solve for x
    x = 65,639,977,209/185,004
  6. Step 6: Final answer
    x = 354,803.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.