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Finding the Third Proportional to 107,688 and 236,769

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Solution

The third proportional to 107,688 and 236,769 is: 520,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,688 : 236,769 = 236,769 : x
  2. Step 2: Convert to fraction form
    107,688/236,769 = 236,769/x
  3. Step 3: Cross multiply
    107,688x = 236,769 × 236,769
  4. Step 4: Simplify right side
    107,688x = 56,059,559,361
  5. Step 5: Solve for x
    x = 56,059,559,361/107,688
  6. Step 6: Final answer
    x = 520,573.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.