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Finding the Third Proportional to 209,097.50 and 332,714.50

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Solution

The third proportional to 209,097.50 and 332,714.50 is: 529,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,097.50 : 332,714.50 = 332,714.50 : x
  2. Step 2: Convert to fraction form
    209,097.50/332,714.50 = 332,714.50/x
  3. Step 3: Cross multiply
    209,097.50x = 332,714.50 × 332,714.50
  4. Step 4: Simplify right side
    209,097.50x = 110,698,938,510.25
  5. Step 5: Solve for x
    x = 110,698,938,510.25/209,097.50
  6. Step 6: Final answer
    x = 529,413.02

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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.