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Finding the Third Proportional to 195,023 and 291,258

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Solution

The third proportional to 195,023 and 291,258 is: 434,980.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,023 : 291,258 = 291,258 : x
  2. Step 2: Convert to fraction form
    195,023/291,258 = 291,258/x
  3. Step 3: Cross multiply
    195,023x = 291,258 × 291,258
  4. Step 4: Simplify right side
    195,023x = 84,831,222,564
  5. Step 5: Solve for x
    x = 84,831,222,564/195,023
  6. Step 6: Final answer
    x = 434,980.61

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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.