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Finding the Third Proportional to 191,628 and 403,118.63

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Solution

The third proportional to 191,628 and 403,118.63 is: 848,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,628 : 403,118.63 = 403,118.63 : x
  2. Step 2: Convert to fraction form
    191,628/403,118.63 = 403,118.63/x
  3. Step 3: Cross multiply
    191,628x = 403,118.63 × 403,118.63
  4. Step 4: Simplify right side
    191,628x = 162,504,625,821.89
  5. Step 5: Solve for x
    x = 162,504,625,821.89/191,628
  6. Step 6: Final answer
    x = 848,021.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.