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Finding the Third Proportional to 244,403 and 369,063.50

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Solution

The third proportional to 244,403 and 369,063.50 is: 557,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,403 : 369,063.50 = 369,063.50 : x
  2. Step 2: Convert to fraction form
    244,403/369,063.50 = 369,063.50/x
  3. Step 3: Cross multiply
    244,403x = 369,063.50 × 369,063.50
  4. Step 4: Simplify right side
    244,403x = 136,207,867,032.25
  5. Step 5: Solve for x
    x = 136,207,867,032.25/244,403
  6. Step 6: Final answer
    x = 557,308.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.