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Finding the Third Proportional to 216,590 and 333,343

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Solution

The third proportional to 216,590 and 333,343 is: 513,031.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,590 : 333,343 = 333,343 : x
  2. Step 2: Convert to fraction form
    216,590/333,343 = 333,343/x
  3. Step 3: Cross multiply
    216,590x = 333,343 × 333,343
  4. Step 4: Simplify right side
    216,590x = 111,117,555,649
  5. Step 5: Solve for x
    x = 111,117,555,649/216,590
  6. Step 6: Final answer
    x = 513,031.79

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Why These Related Problems?

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