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Finding the Third Proportional to 191,616.75 and 403,083

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Solution

The third proportional to 191,616.75 and 403,083 is: 847,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,616.75 : 403,083 = 403,083 : x
  2. Step 2: Convert to fraction form
    191,616.75/403,083 = 403,083/x
  3. Step 3: Cross multiply
    191,616.75x = 403,083 × 403,083
  4. Step 4: Simplify right side
    191,616.75x = 162,475,904,889
  5. Step 5: Solve for x
    x = 162,475,904,889/191,616.75
  6. Step 6: Final answer
    x = 847,921.20

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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.