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Finding the Third Proportional to 200,746.69 and 295,571.53

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Solution

The third proportional to 200,746.69 and 295,571.53 is: 435,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,746.69 : 295,571.53 = 295,571.53 : x
  2. Step 2: Convert to fraction form
    200,746.69/295,571.53 = 295,571.53/x
  3. Step 3: Cross multiply
    200,746.69x = 295,571.53 × 295,571.53
  4. Step 4: Simplify right side
    200,746.69x = 87,362,530,085.47
  5. Step 5: Solve for x
    x = 87,362,530,085.47/200,746.69
  6. Step 6: Final answer
    x = 435,187.90

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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.