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Finding the Third Proportional to 155,208.75 and 332,554.50

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Solution

The third proportional to 155,208.75 and 332,554.50 is: 712,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,208.75 : 332,554.50 = 332,554.50 : x
  2. Step 2: Convert to fraction form
    155,208.75/332,554.50 = 332,554.50/x
  3. Step 3: Cross multiply
    155,208.75x = 332,554.50 × 332,554.50
  4. Step 4: Simplify right side
    155,208.75x = 110,592,495,470.25
  5. Step 5: Solve for x
    x = 110,592,495,470.25/155,208.75
  6. Step 6: Final answer
    x = 712,540.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.