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Finding the Third Proportional to 170,758.50 and 245,980.50

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Solution

The third proportional to 170,758.50 and 245,980.50 is: 354,339.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,758.50 : 245,980.50 = 245,980.50 : x
  2. Step 2: Convert to fraction form
    170,758.50/245,980.50 = 245,980.50/x
  3. Step 3: Cross multiply
    170,758.50x = 245,980.50 × 245,980.50
  4. Step 4: Simplify right side
    170,758.50x = 60,506,406,380.25
  5. Step 5: Solve for x
    x = 60,506,406,380.25/170,758.50
  6. Step 6: Final answer
    x = 354,339.06

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.