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Finding the Third Proportional to 225,450 and 348,097.50

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Solution

The third proportional to 225,450 and 348,097.50 is: 537,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,450 : 348,097.50 = 348,097.50 : x
  2. Step 2: Convert to fraction form
    225,450/348,097.50 = 348,097.50/x
  3. Step 3: Cross multiply
    225,450x = 348,097.50 × 348,097.50
  4. Step 4: Simplify right side
    225,450x = 121,171,869,506.25
  5. Step 5: Solve for x
    x = 121,171,869,506.25/225,450
  6. Step 6: Final answer
    x = 537,466.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.