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Finding the Third Proportional to 138,547.50 and 298,283.25

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Solution

The third proportional to 138,547.50 and 298,283.25 is: 642,183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,547.50 : 298,283.25 = 298,283.25 : x
  2. Step 2: Convert to fraction form
    138,547.50/298,283.25 = 298,283.25/x
  3. Step 3: Cross multiply
    138,547.50x = 298,283.25 × 298,283.25
  4. Step 4: Simplify right side
    138,547.50x = 88,972,897,230.56
  5. Step 5: Solve for x
    x = 88,972,897,230.56/138,547.50
  6. Step 6: Final answer
    x = 642,183.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.