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Finding the Third Proportional to 82,261.50 and 170,746.50

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Solution

The third proportional to 82,261.50 and 170,746.50 is: 354,410.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,261.50 : 170,746.50 = 170,746.50 : x
  2. Step 2: Convert to fraction form
    82,261.50/170,746.50 = 170,746.50/x
  3. Step 3: Cross multiply
    82,261.50x = 170,746.50 × 170,746.50
  4. Step 4: Simplify right side
    82,261.50x = 29,154,367,262.25
  5. Step 5: Solve for x
    x = 29,154,367,262.25/82,261.50
  6. Step 6: Final answer
    x = 354,410.84

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.