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Finding the Third Proportional to 113,216 and 237,448

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Solution

The third proportional to 113,216 and 237,448 is: 497,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,216 : 237,448 = 237,448 : x
  2. Step 2: Convert to fraction form
    113,216/237,448 = 237,448/x
  3. Step 3: Cross multiply
    113,216x = 237,448 × 237,448
  4. Step 4: Simplify right side
    113,216x = 56,381,552,704
  5. Step 5: Solve for x
    x = 56,381,552,704/113,216
  6. Step 6: Final answer
    x = 497,999.86

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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.