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Finding the Third Proportional to 184,014 and 249,503

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Solution

The third proportional to 184,014 and 249,503 is: 338,298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,014 : 249,503 = 249,503 : x
  2. Step 2: Convert to fraction form
    184,014/249,503 = 249,503/x
  3. Step 3: Cross multiply
    184,014x = 249,503 × 249,503
  4. Step 4: Simplify right side
    184,014x = 62,251,747,009
  5. Step 5: Solve for x
    x = 62,251,747,009/184,014
  6. Step 6: Final answer
    x = 338,298.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.