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Finding the Third Proportional to 223,170 and 334,752

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Solution

The third proportional to 223,170 and 334,752 is: 502,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,170 : 334,752 = 334,752 : x
  2. Step 2: Convert to fraction form
    223,170/334,752 = 334,752/x
  3. Step 3: Cross multiply
    223,170x = 334,752 × 334,752
  4. Step 4: Simplify right side
    223,170x = 112,058,901,504
  5. Step 5: Solve for x
    x = 112,058,901,504/223,170
  6. Step 6: Final answer
    x = 502,123.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.