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Finding the Third Proportional to 115,047 and 268,702.50

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Solution

The third proportional to 115,047 and 268,702.50 is: 627,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,047 : 268,702.50 = 268,702.50 : x
  2. Step 2: Convert to fraction form
    115,047/268,702.50 = 268,702.50/x
  3. Step 3: Cross multiply
    115,047x = 268,702.50 × 268,702.50
  4. Step 4: Simplify right side
    115,047x = 72,201,033,506.25
  5. Step 5: Solve for x
    x = 72,201,033,506.25/115,047
  6. Step 6: Final answer
    x = 627,578.59

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.