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Finding the Third Proportional to 193,536 and 417,792

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Solution

The third proportional to 193,536 and 417,792 is: 901,900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,536 : 417,792 = 417,792 : x
  2. Step 2: Convert to fraction form
    193,536/417,792 = 417,792/x
  3. Step 3: Cross multiply
    193,536x = 417,792 × 417,792
  4. Step 4: Simplify right side
    193,536x = 174,550,155,264
  5. Step 5: Solve for x
    x = 174,550,155,264/193,536
  6. Step 6: Final answer
    x = 901,900.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.