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Finding the Third Proportional to 161,783 and 248,308.50

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Solution

The third proportional to 161,783 and 248,308.50 is: 381,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,783 : 248,308.50 = 248,308.50 : x
  2. Step 2: Convert to fraction form
    161,783/248,308.50 = 248,308.50/x
  3. Step 3: Cross multiply
    161,783x = 248,308.50 × 248,308.50
  4. Step 4: Simplify right side
    161,783x = 61,657,111,172.25
  5. Step 5: Solve for x
    x = 61,657,111,172.25/161,783
  6. Step 6: Final answer
    x = 381,109.95

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.