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Finding the Third Proportional to 170,128.50 and 366,832.50

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Solution

The third proportional to 170,128.50 and 366,832.50 is: 790,967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,128.50 : 366,832.50 = 366,832.50 : x
  2. Step 2: Convert to fraction form
    170,128.50/366,832.50 = 366,832.50/x
  3. Step 3: Cross multiply
    170,128.50x = 366,832.50 × 366,832.50
  4. Step 4: Simplify right side
    170,128.50x = 134,566,083,056.25
  5. Step 5: Solve for x
    x = 134,566,083,056.25/170,128.50
  6. Step 6: Final answer
    x = 790,967.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.