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Finding the Third Proportional to 164,324 and 353,556

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Solution

The third proportional to 164,324 and 353,556 is: 760,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,324 : 353,556 = 353,556 : x
  2. Step 2: Convert to fraction form
    164,324/353,556 = 353,556/x
  3. Step 3: Cross multiply
    164,324x = 353,556 × 353,556
  4. Step 4: Simplify right side
    164,324x = 125,001,845,136
  5. Step 5: Solve for x
    x = 125,001,845,136/164,324
  6. Step 6: Final answer
    x = 760,703.52

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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.