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Finding the Third Proportional to 164,457 and 353,862

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Solution

The third proportional to 164,457 and 353,862 is: 761,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,457 : 353,862 = 353,862 : x
  2. Step 2: Convert to fraction form
    164,457/353,862 = 353,862/x
  3. Step 3: Cross multiply
    164,457x = 353,862 × 353,862
  4. Step 4: Simplify right side
    164,457x = 125,218,315,044
  5. Step 5: Solve for x
    x = 125,218,315,044/164,457
  6. Step 6: Final answer
    x = 761,404.59

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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.