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Finding the Third Proportional to 155,163 and 237,258

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Solution

The third proportional to 155,163 and 237,258 is: 362,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,163 : 237,258 = 237,258 : x
  2. Step 2: Convert to fraction form
    155,163/237,258 = 237,258/x
  3. Step 3: Cross multiply
    155,163x = 237,258 × 237,258
  4. Step 4: Simplify right side
    155,163x = 56,291,358,564
  5. Step 5: Solve for x
    x = 56,291,358,564/155,163
  6. Step 6: Final answer
    x = 362,788.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.