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Finding the Third Proportional to 164,417 and 353,310

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Solution

The third proportional to 164,417 and 353,310 is: 759,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,417 : 353,310 = 353,310 : x
  2. Step 2: Convert to fraction form
    164,417/353,310 = 353,310/x
  3. Step 3: Cross multiply
    164,417x = 353,310 × 353,310
  4. Step 4: Simplify right side
    164,417x = 124,827,956,100
  5. Step 5: Solve for x
    x = 124,827,956,100/164,417
  6. Step 6: Final answer
    x = 759,215.63

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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.