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Finding the Third Proportional to 127,840.50 and 278,064

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Solution

The third proportional to 127,840.50 and 278,064 is: 604,812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,840.50 : 278,064 = 278,064 : x
  2. Step 2: Convert to fraction form
    127,840.50/278,064 = 278,064/x
  3. Step 3: Cross multiply
    127,840.50x = 278,064 × 278,064
  4. Step 4: Simplify right side
    127,840.50x = 77,319,588,096
  5. Step 5: Solve for x
    x = 77,319,588,096/127,840.50
  6. Step 6: Final answer
    x = 604,812.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.