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Finding the Third Proportional to 164,459 and 352,240

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Solution

The third proportional to 164,459 and 352,240 is: 754,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,459 : 352,240 = 352,240 : x
  2. Step 2: Convert to fraction form
    164,459/352,240 = 352,240/x
  3. Step 3: Cross multiply
    164,459x = 352,240 × 352,240
  4. Step 4: Simplify right side
    164,459x = 124,073,017,600
  5. Step 5: Solve for x
    x = 124,073,017,600/164,459
  6. Step 6: Final answer
    x = 754,431.30

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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.