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Finding the Third Proportional to 196,913 and 291,211

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Solution

The third proportional to 196,913 and 291,211 is: 430,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,913 : 291,211 = 291,211 : x
  2. Step 2: Convert to fraction form
    196,913/291,211 = 291,211/x
  3. Step 3: Cross multiply
    196,913x = 291,211 × 291,211
  4. Step 4: Simplify right side
    196,913x = 84,803,846,521
  5. Step 5: Solve for x
    x = 84,803,846,521/196,913
  6. Step 6: Final answer
    x = 430,666.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.