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Finding the Third Proportional to 116,624 and 183,346

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Solution

The third proportional to 116,624 and 183,346 is: 288,240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,624 : 183,346 = 183,346 : x
  2. Step 2: Convert to fraction form
    116,624/183,346 = 183,346/x
  3. Step 3: Cross multiply
    116,624x = 183,346 × 183,346
  4. Step 4: Simplify right side
    116,624x = 33,615,755,716
  5. Step 5: Solve for x
    x = 33,615,755,716/116,624
  6. Step 6: Final answer
    x = 288,240.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.