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Finding the Third Proportional to 175,647 and 385,434

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Solution

The third proportional to 175,647 and 385,434 is: 845,783.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,647 : 385,434 = 385,434 : x
  2. Step 2: Convert to fraction form
    175,647/385,434 = 385,434/x
  3. Step 3: Cross multiply
    175,647x = 385,434 × 385,434
  4. Step 4: Simplify right side
    175,647x = 148,559,368,356
  5. Step 5: Solve for x
    x = 148,559,368,356/175,647
  6. Step 6: Final answer
    x = 845,783.69

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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.