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Finding the Third Proportional to 113,120 and 237,255

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Solution

The third proportional to 113,120 and 237,255 is: 497,612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,120 : 237,255 = 237,255 : x
  2. Step 2: Convert to fraction form
    113,120/237,255 = 237,255/x
  3. Step 3: Cross multiply
    113,120x = 237,255 × 237,255
  4. Step 4: Simplify right side
    113,120x = 56,289,935,025
  5. Step 5: Solve for x
    x = 56,289,935,025/113,120
  6. Step 6: Final answer
    x = 497,612.58

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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.