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Finding the Third Proportional to 113,211 and 237,438

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Solution

The third proportional to 113,211 and 237,438 is: 497,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,211 : 237,438 = 237,438 : x
  2. Step 2: Convert to fraction form
    113,211/237,438 = 237,438/x
  3. Step 3: Cross multiply
    113,211x = 237,438 × 237,438
  4. Step 4: Simplify right side
    113,211x = 56,376,803,844
  5. Step 5: Solve for x
    x = 56,376,803,844/113,211
  6. Step 6: Final answer
    x = 497,979.91

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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.