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Finding the Third Proportional to 170,130 and 366,258

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Solution

The third proportional to 170,130 and 366,258 is: 788,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,130 : 366,258 = 366,258 : x
  2. Step 2: Convert to fraction form
    170,130/366,258 = 366,258/x
  3. Step 3: Cross multiply
    170,130x = 366,258 × 366,258
  4. Step 4: Simplify right side
    170,130x = 134,144,922,564
  5. Step 5: Solve for x
    x = 134,144,922,564/170,130
  6. Step 6: Final answer
    x = 788,484.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.