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Finding the Third Proportional to 229,077 and 348,475.50

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Solution

The third proportional to 229,077 and 348,475.50 is: 530,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,077 : 348,475.50 = 348,475.50 : x
  2. Step 2: Convert to fraction form
    229,077/348,475.50 = 348,475.50/x
  3. Step 3: Cross multiply
    229,077x = 348,475.50 × 348,475.50
  4. Step 4: Simplify right side
    229,077x = 121,435,174,100.25
  5. Step 5: Solve for x
    x = 121,435,174,100.25/229,077
  6. Step 6: Final answer
    x = 530,106.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.