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Finding the Third Proportional to 170,698.50 and 374,050.50

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Solution

The third proportional to 170,698.50 and 374,050.50 is: 819,654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,698.50 : 374,050.50 = 374,050.50 : x
  2. Step 2: Convert to fraction form
    170,698.50/374,050.50 = 374,050.50/x
  3. Step 3: Cross multiply
    170,698.50x = 374,050.50 × 374,050.50
  4. Step 4: Simplify right side
    170,698.50x = 139,913,776,550.25
  5. Step 5: Solve for x
    x = 139,913,776,550.25/170,698.50
  6. Step 6: Final answer
    x = 819,654.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.