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Finding the Third Proportional to 77,888.25 and 170,599.50

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Solution

The third proportional to 77,888.25 and 170,599.50 is: 373,665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,888.25 : 170,599.50 = 170,599.50 : x
  2. Step 2: Convert to fraction form
    77,888.25/170,599.50 = 170,599.50/x
  3. Step 3: Cross multiply
    77,888.25x = 170,599.50 × 170,599.50
  4. Step 4: Simplify right side
    77,888.25x = 29,104,189,400.25
  5. Step 5: Solve for x
    x = 29,104,189,400.25/77,888.25
  6. Step 6: Final answer
    x = 373,665.98

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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.