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Finding the Third Proportional to 169,258 and 361,844

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Solution

The third proportional to 169,258 and 361,844 is: 773,559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,258 : 361,844 = 361,844 : x
  2. Step 2: Convert to fraction form
    169,258/361,844 = 361,844/x
  3. Step 3: Cross multiply
    169,258x = 361,844 × 361,844
  4. Step 4: Simplify right side
    169,258x = 130,931,080,336
  5. Step 5: Solve for x
    x = 130,931,080,336/169,258
  6. Step 6: Final answer
    x = 773,559.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.