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Finding the Third Proportional to 112,347 and 237,370.50

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Solution

The third proportional to 112,347 and 237,370.50 is: 501,524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,347 : 237,370.50 = 237,370.50 : x
  2. Step 2: Convert to fraction form
    112,347/237,370.50 = 237,370.50/x
  3. Step 3: Cross multiply
    112,347x = 237,370.50 × 237,370.50
  4. Step 4: Simplify right side
    112,347x = 56,344,754,270.25
  5. Step 5: Solve for x
    x = 56,344,754,270.25/112,347
  6. Step 6: Final answer
    x = 501,524.33

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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.