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Finding the Third Proportional to 164,725 and 360,969

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Solution

The third proportional to 164,725 and 360,969 is: 791,006.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,725 : 360,969 = 360,969 : x
  2. Step 2: Convert to fraction form
    164,725/360,969 = 360,969/x
  3. Step 3: Cross multiply
    164,725x = 360,969 × 360,969
  4. Step 4: Simplify right side
    164,725x = 130,298,618,961
  5. Step 5: Solve for x
    x = 130,298,618,961/164,725
  6. Step 6: Final answer
    x = 791,006.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.