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Finding the Third Proportional to 127,392 and 265,240.50

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Solution

The third proportional to 127,392 and 265,240.50 is: 552,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,392 : 265,240.50 = 265,240.50 : x
  2. Step 2: Convert to fraction form
    127,392/265,240.50 = 265,240.50/x
  3. Step 3: Cross multiply
    127,392x = 265,240.50 × 265,240.50
  4. Step 4: Simplify right side
    127,392x = 70,352,522,840.25
  5. Step 5: Solve for x
    x = 70,352,522,840.25/127,392
  6. Step 6: Final answer
    x = 552,252.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.