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Finding the Third Proportional to 216,105.50 and 317,152

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Solution

The third proportional to 216,105.50 and 317,152 is: 465,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,105.50 : 317,152 = 317,152 : x
  2. Step 2: Convert to fraction form
    216,105.50/317,152 = 317,152/x
  3. Step 3: Cross multiply
    216,105.50x = 317,152 × 317,152
  4. Step 4: Simplify right side
    216,105.50x = 100,585,391,104
  5. Step 5: Solve for x
    x = 100,585,391,104/216,105.50
  6. Step 6: Final answer
    x = 465,445.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.