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Finding the Third Proportional to 201,173.63 and 426,328.31

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Solution

The third proportional to 201,173.63 and 426,328.31 is: 903,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,173.63 : 426,328.31 = 426,328.31 : x
  2. Step 2: Convert to fraction form
    201,173.63/426,328.31 = 426,328.31/x
  3. Step 3: Cross multiply
    201,173.63x = 426,328.31 × 426,328.31
  4. Step 4: Simplify right side
    201,173.63x = 181,755,830,039.10
  5. Step 5: Solve for x
    x = 181,755,830,039.10/201,173.63
  6. Step 6: Final answer
    x = 903,477.43

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.