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Finding the Third Proportional to 164,630 and 253,786

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Solution

The third proportional to 164,630 and 253,786 is: 391,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,630 : 253,786 = 253,786 : x
  2. Step 2: Convert to fraction form
    164,630/253,786 = 253,786/x
  3. Step 3: Cross multiply
    164,630x = 253,786 × 253,786
  4. Step 4: Simplify right side
    164,630x = 64,407,333,796
  5. Step 5: Solve for x
    x = 64,407,333,796/164,630
  6. Step 6: Final answer
    x = 391,224.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.