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Finding the Third Proportional to 236,442.56 and 331,775.81

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Solution

The third proportional to 236,442.56 and 331,775.81 is: 465,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,442.56 : 331,775.81 = 331,775.81 : x
  2. Step 2: Convert to fraction form
    236,442.56/331,775.81 = 331,775.81/x
  3. Step 3: Cross multiply
    236,442.56x = 331,775.81 × 331,775.81
  4. Step 4: Simplify right side
    236,442.56x = 110,075,189,760.04
  5. Step 5: Solve for x
    x = 110,075,189,760.04/236,442.56
  6. Step 6: Final answer
    x = 465,547.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.