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Finding the Third Proportional to 238,324 and 354,246

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Solution

The third proportional to 238,324 and 354,246 is: 526,553.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,324 : 354,246 = 354,246 : x
  2. Step 2: Convert to fraction form
    238,324/354,246 = 354,246/x
  3. Step 3: Cross multiply
    238,324x = 354,246 × 354,246
  4. Step 4: Simplify right side
    238,324x = 125,490,228,516
  5. Step 5: Solve for x
    x = 125,490,228,516/238,324
  6. Step 6: Final answer
    x = 526,553.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.