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Finding the Third Proportional to 197,569.69 and 282,322.88

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Solution

The third proportional to 197,569.69 and 282,322.88 is: 403,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,569.69 : 282,322.88 = 282,322.88 : x
  2. Step 2: Convert to fraction form
    197,569.69/282,322.88 = 282,322.88/x
  3. Step 3: Cross multiply
    197,569.69x = 282,322.88 × 282,322.88
  4. Step 4: Simplify right side
    197,569.69x = 79,706,205,748.27
  5. Step 5: Solve for x
    x = 79,706,205,748.27/197,569.69
  6. Step 6: Final answer
    x = 403,433.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.