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Finding the Third Proportional to 202,406.06 and 297,048.09

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Solution

The third proportional to 202,406.06 and 297,048.09 is: 435,943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,406.06 : 297,048.09 = 297,048.09 : x
  2. Step 2: Convert to fraction form
    202,406.06/297,048.09 = 297,048.09/x
  3. Step 3: Cross multiply
    202,406.06x = 297,048.09 × 297,048.09
  4. Step 4: Simplify right side
    202,406.06x = 88,237,570,000.51
  5. Step 5: Solve for x
    x = 88,237,570,000.51/202,406.06
  6. Step 6: Final answer
    x = 435,943.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.