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Finding the Third Proportional to 220,038.75 and 349,742.25

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Solution

The third proportional to 220,038.75 and 349,742.25 is: 555,900.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,038.75 : 349,742.25 = 349,742.25 : x
  2. Step 2: Convert to fraction form
    220,038.75/349,742.25 = 349,742.25/x
  3. Step 3: Cross multiply
    220,038.75x = 349,742.25 × 349,742.25
  4. Step 4: Simplify right side
    220,038.75x = 122,319,641,435.06
  5. Step 5: Solve for x
    x = 122,319,641,435.06/220,038.75
  6. Step 6: Final answer
    x = 555,900.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.