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Finding the Third Proportional to 223,014 and 359,087

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Solution

The third proportional to 223,014 and 359,087 is: 578,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,014 : 359,087 = 359,087 : x
  2. Step 2: Convert to fraction form
    223,014/359,087 = 359,087/x
  3. Step 3: Cross multiply
    223,014x = 359,087 × 359,087
  4. Step 4: Simplify right side
    223,014x = 128,943,473,569
  5. Step 5: Solve for x
    x = 128,943,473,569/223,014
  6. Step 6: Final answer
    x = 578,185.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.