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Finding the Third Proportional to 114,097.50 and 247,511.25

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Solution

The third proportional to 114,097.50 and 247,511.25 is: 536,925.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,097.50 : 247,511.25 = 247,511.25 : x
  2. Step 2: Convert to fraction form
    114,097.50/247,511.25 = 247,511.25/x
  3. Step 3: Cross multiply
    114,097.50x = 247,511.25 × 247,511.25
  4. Step 4: Simplify right side
    114,097.50x = 61,261,818,876.56
  5. Step 5: Solve for x
    x = 61,261,818,876.56/114,097.50
  6. Step 6: Final answer
    x = 536,925.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.