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Finding the Third Proportional to 193,117.50 and 282,762.50

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Solution

The third proportional to 193,117.50 and 282,762.50 is: 414,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,117.50 : 282,762.50 = 282,762.50 : x
  2. Step 2: Convert to fraction form
    193,117.50/282,762.50 = 282,762.50/x
  3. Step 3: Cross multiply
    193,117.50x = 282,762.50 × 282,762.50
  4. Step 4: Simplify right side
    193,117.50x = 79,954,631,406.25
  5. Step 5: Solve for x
    x = 79,954,631,406.25/193,117.50
  6. Step 6: Final answer
    x = 414,020.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.