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Finding the Third Proportional to 113,577.61 and 238,927.22

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Solution

The third proportional to 113,577.61 and 238,927.22 is: 502,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,577.61 : 238,927.22 = 238,927.22 : x
  2. Step 2: Convert to fraction form
    113,577.61/238,927.22 = 238,927.22/x
  3. Step 3: Cross multiply
    113,577.61x = 238,927.22 × 238,927.22
  4. Step 4: Simplify right side
    113,577.61x = 57,086,215,859.61
  5. Step 5: Solve for x
    x = 57,086,215,859.61/113,577.61
  6. Step 6: Final answer
    x = 502,618.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.