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Finding the Third Proportional to 127,298.25 and 279,058.50

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Solution

The third proportional to 127,298.25 and 279,058.50 is: 611,741.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,298.25 : 279,058.50 = 279,058.50 : x
  2. Step 2: Convert to fraction form
    127,298.25/279,058.50 = 279,058.50/x
  3. Step 3: Cross multiply
    127,298.25x = 279,058.50 × 279,058.50
  4. Step 4: Simplify right side
    127,298.25x = 77,873,646,422.25
  5. Step 5: Solve for x
    x = 77,873,646,422.25/127,298.25
  6. Step 6: Final answer
    x = 611,741.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.