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Finding the Third Proportional to 264,301.31 and 400,141.69

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Solution

The third proportional to 264,301.31 and 400,141.69 is: 605,798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,301.31 : 400,141.69 = 400,141.69 : x
  2. Step 2: Convert to fraction form
    264,301.31/400,141.69 = 400,141.69/x
  3. Step 3: Cross multiply
    264,301.31x = 400,141.69 × 400,141.69
  4. Step 4: Simplify right side
    264,301.31x = 160,113,370,075.35
  5. Step 5: Solve for x
    x = 160,113,370,075.35/264,301.31
  6. Step 6: Final answer
    x = 605,798.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.