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Finding the Third Proportional to 191,461 and 305,233.50

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Solution

The third proportional to 191,461 and 305,233.50 is: 486,613.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,461 : 305,233.50 = 305,233.50 : x
  2. Step 2: Convert to fraction form
    191,461/305,233.50 = 305,233.50/x
  3. Step 3: Cross multiply
    191,461x = 305,233.50 × 305,233.50
  4. Step 4: Simplify right side
    191,461x = 93,167,489,522.25
  5. Step 5: Solve for x
    x = 93,167,489,522.25/191,461
  6. Step 6: Final answer
    x = 486,613.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.