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Finding the Third Proportional to 113,194 and 237,403

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Solution

The third proportional to 113,194 and 237,403 is: 497,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,194 : 237,403 = 237,403 : x
  2. Step 2: Convert to fraction form
    113,194/237,403 = 237,403/x
  3. Step 3: Cross multiply
    113,194x = 237,403 × 237,403
  4. Step 4: Simplify right side
    113,194x = 56,360,184,409
  5. Step 5: Solve for x
    x = 56,360,184,409/113,194
  6. Step 6: Final answer
    x = 497,907.88

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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.