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Finding the Third Proportional to 147,819 and 228,289

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Solution

The third proportional to 147,819 and 228,289 is: 352,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,819 : 228,289 = 228,289 : x
  2. Step 2: Convert to fraction form
    147,819/228,289 = 228,289/x
  3. Step 3: Cross multiply
    147,819x = 228,289 × 228,289
  4. Step 4: Simplify right side
    147,819x = 52,115,867,521
  5. Step 5: Solve for x
    x = 52,115,867,521/147,819
  6. Step 6: Final answer
    x = 352,565.42

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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.