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Finding the Third Proportional to 127,848.38 and 200,558.53

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Solution

The third proportional to 127,848.38 and 200,558.53 is: 314,620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,848.38 : 200,558.53 = 200,558.53 : x
  2. Step 2: Convert to fraction form
    127,848.38/200,558.53 = 200,558.53/x
  3. Step 3: Cross multiply
    127,848.38x = 200,558.53 × 200,558.53
  4. Step 4: Simplify right side
    127,848.38x = 40,223,724,457.16
  5. Step 5: Solve for x
    x = 40,223,724,457.16/127,848.38
  6. Step 6: Final answer
    x = 314,620.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.