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Finding the Third Proportional to 201,726 and 301,403.50

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Solution

The third proportional to 201,726 and 301,403.50 is: 450,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,726 : 301,403.50 = 301,403.50 : x
  2. Step 2: Convert to fraction form
    201,726/301,403.50 = 301,403.50/x
  3. Step 3: Cross multiply
    201,726x = 301,403.50 × 301,403.50
  4. Step 4: Simplify right side
    201,726x = 90,844,069,812.25
  5. Step 5: Solve for x
    x = 90,844,069,812.25/201,726
  6. Step 6: Final answer
    x = 450,333.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.