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Finding the Third Proportional to 193,770 and 417,222

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Solution

The third proportional to 193,770 and 417,222 is: 898,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,770 : 417,222 = 417,222 : x
  2. Step 2: Convert to fraction form
    193,770/417,222 = 417,222/x
  3. Step 3: Cross multiply
    193,770x = 417,222 × 417,222
  4. Step 4: Simplify right side
    193,770x = 174,074,197,284
  5. Step 5: Solve for x
    x = 174,074,197,284/193,770
  6. Step 6: Final answer
    x = 898,354.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.