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Finding the Third Proportional to 173,586 and 357,556

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Solution

The third proportional to 173,586 and 357,556 is: 736,501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,586 : 357,556 = 357,556 : x
  2. Step 2: Convert to fraction form
    173,586/357,556 = 357,556/x
  3. Step 3: Cross multiply
    173,586x = 357,556 × 357,556
  4. Step 4: Simplify right side
    173,586x = 127,846,293,136
  5. Step 5: Solve for x
    x = 127,846,293,136/173,586
  6. Step 6: Final answer
    x = 736,501.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.