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Finding the Third Proportional to 223,134.75 and 344,543.63

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Solution

The third proportional to 223,134.75 and 344,543.63 is: 532,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,134.75 : 344,543.63 = 344,543.63 : x
  2. Step 2: Convert to fraction form
    223,134.75/344,543.63 = 344,543.63/x
  3. Step 3: Cross multiply
    223,134.75x = 344,543.63 × 344,543.63
  4. Step 4: Simplify right side
    223,134.75x = 118,710,309,528.14
  5. Step 5: Solve for x
    x = 118,710,309,528.14/223,134.75
  6. Step 6: Final answer
    x = 532,011.75

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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.