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Finding the Third Proportional to 249,276.50 and 544,237

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Solution

The third proportional to 249,276.50 and 544,237 is: 1,188,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,276.50 : 544,237 = 544,237 : x
  2. Step 2: Convert to fraction form
    249,276.50/544,237 = 544,237/x
  3. Step 3: Cross multiply
    249,276.50x = 544,237 × 544,237
  4. Step 4: Simplify right side
    249,276.50x = 296,193,912,169
  5. Step 5: Solve for x
    x = 296,193,912,169/249,276.50
  6. Step 6: Final answer
    x = 1,188,214.34

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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.