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Finding the Third Proportional to 223,968 and 349,590

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Solution

The third proportional to 223,968 and 349,590 is: 545,672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,968 : 349,590 = 349,590 : x
  2. Step 2: Convert to fraction form
    223,968/349,590 = 349,590/x
  3. Step 3: Cross multiply
    223,968x = 349,590 × 349,590
  4. Step 4: Simplify right side
    223,968x = 122,213,168,100
  5. Step 5: Solve for x
    x = 122,213,168,100/223,968
  6. Step 6: Final answer
    x = 545,672.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.