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Finding the Third Proportional to 223,034 and 334,619

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Solution

The third proportional to 223,034 and 334,619 is: 502,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,034 : 334,619 = 334,619 : x
  2. Step 2: Convert to fraction form
    223,034/334,619 = 334,619/x
  3. Step 3: Cross multiply
    223,034x = 334,619 × 334,619
  4. Step 4: Simplify right side
    223,034x = 111,969,875,161
  5. Step 5: Solve for x
    x = 111,969,875,161/223,034
  6. Step 6: Final answer
    x = 502,030.52

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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.