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Finding the Third Proportional to 249,273.50 and 544,231

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Solution

The third proportional to 249,273.50 and 544,231 is: 1,188,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,273.50 : 544,231 = 544,231 : x
  2. Step 2: Convert to fraction form
    249,273.50/544,231 = 544,231/x
  3. Step 3: Cross multiply
    249,273.50x = 544,231 × 544,231
  4. Step 4: Simplify right side
    249,273.50x = 296,187,381,361
  5. Step 5: Solve for x
    x = 296,187,381,361/249,273.50
  6. Step 6: Final answer
    x = 1,188,202.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.