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Finding the Third Proportional to 147,781 and 320,258

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Solution

The third proportional to 147,781 and 320,258 is: 694,035.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,781 : 320,258 = 320,258 : x
  2. Step 2: Convert to fraction form
    147,781/320,258 = 320,258/x
  3. Step 3: Cross multiply
    147,781x = 320,258 × 320,258
  4. Step 4: Simplify right side
    147,781x = 102,565,186,564
  5. Step 5: Solve for x
    x = 102,565,186,564/147,781
  6. Step 6: Final answer
    x = 694,035.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.