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Finding the Third Proportional to 196,870.50 and 305,418

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Solution

The third proportional to 196,870.50 and 305,418 is: 473,814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,870.50 : 305,418 = 305,418 : x
  2. Step 2: Convert to fraction form
    196,870.50/305,418 = 305,418/x
  3. Step 3: Cross multiply
    196,870.50x = 305,418 × 305,418
  4. Step 4: Simplify right side
    196,870.50x = 93,280,154,724
  5. Step 5: Solve for x
    x = 93,280,154,724/196,870.50
  6. Step 6: Final answer
    x = 473,814.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.