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Finding the Third Proportional to 229,288 and 354,156

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Solution

The third proportional to 229,288 and 354,156 is: 547,025.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,288 : 354,156 = 354,156 : x
  2. Step 2: Convert to fraction form
    229,288/354,156 = 354,156/x
  3. Step 3: Cross multiply
    229,288x = 354,156 × 354,156
  4. Step 4: Simplify right side
    229,288x = 125,426,472,336
  5. Step 5: Solve for x
    x = 125,426,472,336/229,288
  6. Step 6: Final answer
    x = 547,025.89

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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.