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Finding the Third Proportional to 178,005 and 388,833

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Solution

The third proportional to 178,005 and 388,833 is: 849,364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,005 : 388,833 = 388,833 : x
  2. Step 2: Convert to fraction form
    178,005/388,833 = 388,833/x
  3. Step 3: Cross multiply
    178,005x = 388,833 × 388,833
  4. Step 4: Simplify right side
    178,005x = 151,191,101,889
  5. Step 5: Solve for x
    x = 151,191,101,889/178,005
  6. Step 6: Final answer
    x = 849,364.35

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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.