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Finding the Third Proportional to 202,408.88 and 297,051.75

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Solution

The third proportional to 202,408.88 and 297,051.75 is: 435,947.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,408.88 : 297,051.75 = 297,051.75 : x
  2. Step 2: Convert to fraction form
    202,408.88/297,051.75 = 297,051.75/x
  3. Step 3: Cross multiply
    202,408.88x = 297,051.75 × 297,051.75
  4. Step 4: Simplify right side
    202,408.88x = 88,239,742,178.06
  5. Step 5: Solve for x
    x = 88,239,742,178.06/202,408.88
  6. Step 6: Final answer
    x = 435,947.99

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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.