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Finding the Third Proportional to 160,526.25 and 248,415.75

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Solution

The third proportional to 160,526.25 and 248,415.75 is: 384,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,526.25 : 248,415.75 = 248,415.75 : x
  2. Step 2: Convert to fraction form
    160,526.25/248,415.75 = 248,415.75/x
  3. Step 3: Cross multiply
    160,526.25x = 248,415.75 × 248,415.75
  4. Step 4: Simplify right side
    160,526.25x = 61,710,384,848.06
  5. Step 5: Solve for x
    x = 61,710,384,848.06/160,526.25
  6. Step 6: Final answer
    x = 384,425.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.