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Finding the Third Proportional to 225,051.75 and 348,360.75

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Solution

The third proportional to 225,051.75 and 348,360.75 is: 539,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,051.75 : 348,360.75 = 348,360.75 : x
  2. Step 2: Convert to fraction form
    225,051.75/348,360.75 = 348,360.75/x
  3. Step 3: Cross multiply
    225,051.75x = 348,360.75 × 348,360.75
  4. Step 4: Simplify right side
    225,051.75x = 121,355,212,140.56
  5. Step 5: Solve for x
    x = 121,355,212,140.56/225,051.75
  6. Step 6: Final answer
    x = 539,232.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.