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Finding the Third Proportional to 228,429.56 and 334,852.31

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Solution

The third proportional to 228,429.56 and 334,852.31 is: 490,856.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,429.56 : 334,852.31 = 334,852.31 : x
  2. Step 2: Convert to fraction form
    228,429.56/334,852.31 = 334,852.31/x
  3. Step 3: Cross multiply
    228,429.56x = 334,852.31 × 334,852.31
  4. Step 4: Simplify right side
    228,429.56x = 112,126,071,186.60
  5. Step 5: Solve for x
    x = 112,126,071,186.60/228,429.56
  6. Step 6: Final answer
    x = 490,856.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.