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Finding the Third Proportional to 257,200.31 and 346,950.84

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Solution

The third proportional to 257,200.31 and 346,950.84 is: 468,019.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,200.31 : 346,950.84 = 346,950.84 : x
  2. Step 2: Convert to fraction form
    257,200.31/346,950.84 = 346,950.84/x
  3. Step 3: Cross multiply
    257,200.31x = 346,950.84 × 346,950.84
  4. Step 4: Simplify right side
    257,200.31x = 120,374,887,978.84
  5. Step 5: Solve for x
    x = 120,374,887,978.84/257,200.31
  6. Step 6: Final answer
    x = 468,019.99

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.