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Finding the Third Proportional to 225,809 and 349,526.50

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Solution

The third proportional to 225,809 and 349,526.50 is: 541,027.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,809 : 349,526.50 = 349,526.50 : x
  2. Step 2: Convert to fraction form
    225,809/349,526.50 = 349,526.50/x
  3. Step 3: Cross multiply
    225,809x = 349,526.50 × 349,526.50
  4. Step 4: Simplify right side
    225,809x = 122,168,774,202.25
  5. Step 5: Solve for x
    x = 122,168,774,202.25/225,809
  6. Step 6: Final answer
    x = 541,027.04

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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.