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Finding the Third Proportional to 155,118 and 248,875.50

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Solution

The third proportional to 155,118 and 248,875.50 is: 399,302.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,118 : 248,875.50 = 248,875.50 : x
  2. Step 2: Convert to fraction form
    155,118/248,875.50 = 248,875.50/x
  3. Step 3: Cross multiply
    155,118x = 248,875.50 × 248,875.50
  4. Step 4: Simplify right side
    155,118x = 61,939,014,500.25
  5. Step 5: Solve for x
    x = 61,939,014,500.25/155,118
  6. Step 6: Final answer
    x = 399,302.56

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.