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Finding the Third Proportional to 164,156 and 353,641

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Solution

The third proportional to 164,156 and 353,641 is: 761,848.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,156 : 353,641 = 353,641 : x
  2. Step 2: Convert to fraction form
    164,156/353,641 = 353,641/x
  3. Step 3: Cross multiply
    164,156x = 353,641 × 353,641
  4. Step 4: Simplify right side
    164,156x = 125,061,956,881
  5. Step 5: Solve for x
    x = 125,061,956,881/164,156
  6. Step 6: Final answer
    x = 761,848.22

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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.