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Finding the Third Proportional to 115,838.50 and 250,413

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Solution

The third proportional to 115,838.50 and 250,413 is: 541,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,838.50 : 250,413 = 250,413 : x
  2. Step 2: Convert to fraction form
    115,838.50/250,413 = 250,413/x
  3. Step 3: Cross multiply
    115,838.50x = 250,413 × 250,413
  4. Step 4: Simplify right side
    115,838.50x = 62,706,670,569
  5. Step 5: Solve for x
    x = 62,706,670,569/115,838.50
  6. Step 6: Final answer
    x = 541,328.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.