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Finding the Third Proportional to 249,913.50 and 544,197

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Solution

The third proportional to 249,913.50 and 544,197 is: 1,185,011.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,913.50 : 544,197 = 544,197 : x
  2. Step 2: Convert to fraction form
    249,913.50/544,197 = 544,197/x
  3. Step 3: Cross multiply
    249,913.50x = 544,197 × 544,197
  4. Step 4: Simplify right side
    249,913.50x = 296,150,374,809
  5. Step 5: Solve for x
    x = 296,150,374,809/249,913.50
  6. Step 6: Final answer
    x = 1,185,011.51

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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.