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Finding the Third Proportional to 223,072 and 345,522

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Solution

The third proportional to 223,072 and 345,522 is: 535,187.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,072 : 345,522 = 345,522 : x
  2. Step 2: Convert to fraction form
    223,072/345,522 = 345,522/x
  3. Step 3: Cross multiply
    223,072x = 345,522 × 345,522
  4. Step 4: Simplify right side
    223,072x = 119,385,452,484
  5. Step 5: Solve for x
    x = 119,385,452,484/223,072
  6. Step 6: Final answer
    x = 535,187.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.