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Finding the Third Proportional to 164,457 and 352,242

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Solution

The third proportional to 164,457 and 352,242 is: 754,449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,457 : 352,242 = 352,242 : x
  2. Step 2: Convert to fraction form
    164,457/352,242 = 352,242/x
  3. Step 3: Cross multiply
    164,457x = 352,242 × 352,242
  4. Step 4: Simplify right side
    164,457x = 124,074,426,564
  5. Step 5: Solve for x
    x = 124,074,426,564/164,457
  6. Step 6: Final answer
    x = 754,449.04

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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.