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Finding the Third Proportional to 147,814.88 and 228,283.31

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Solution

The third proportional to 147,814.88 and 228,283.31 is: 352,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,814.88 : 228,283.31 = 228,283.31 : x
  2. Step 2: Convert to fraction form
    147,814.88/228,283.31 = 228,283.31/x
  3. Step 3: Cross multiply
    147,814.88x = 228,283.31 × 228,283.31
  4. Step 4: Simplify right side
    147,814.88x = 52,113,270,765.97
  5. Step 5: Solve for x
    x = 52,113,270,765.97/147,814.88
  6. Step 6: Final answer
    x = 352,557.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.