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Finding the Third Proportional to 112,554 and 237,770

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Solution

The third proportional to 112,554 and 237,770 is: 502,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,554 : 237,770 = 237,770 : x
  2. Step 2: Convert to fraction form
    112,554/237,770 = 237,770/x
  3. Step 3: Cross multiply
    112,554x = 237,770 × 237,770
  4. Step 4: Simplify right side
    112,554x = 56,534,572,900
  5. Step 5: Solve for x
    x = 56,534,572,900/112,554
  6. Step 6: Final answer
    x = 502,288.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.