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Finding the Third Proportional to 223,946 and 339,472.50

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Solution

The third proportional to 223,946 and 339,472.50 is: 514,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,946 : 339,472.50 = 339,472.50 : x
  2. Step 2: Convert to fraction form
    223,946/339,472.50 = 339,472.50/x
  3. Step 3: Cross multiply
    223,946x = 339,472.50 × 339,472.50
  4. Step 4: Simplify right side
    223,946x = 115,241,578,256.25
  5. Step 5: Solve for x
    x = 115,241,578,256.25/223,946
  6. Step 6: Final answer
    x = 514,595.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.