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Finding the Third Proportional to 225,833.63 and 307,599.75

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Solution

The third proportional to 225,833.63 and 307,599.75 is: 418,970.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,833.63 : 307,599.75 = 307,599.75 : x
  2. Step 2: Convert to fraction form
    225,833.63/307,599.75 = 307,599.75/x
  3. Step 3: Cross multiply
    225,833.63x = 307,599.75 × 307,599.75
  4. Step 4: Simplify right side
    225,833.63x = 94,617,606,200.06
  5. Step 5: Solve for x
    x = 94,617,606,200.06/225,833.63
  6. Step 6: Final answer
    x = 418,970.41

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.