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Finding the Third Proportional to 193,008 and 417,216

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Solution

The third proportional to 193,008 and 417,216 is: 901,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,008 : 417,216 = 417,216 : x
  2. Step 2: Convert to fraction form
    193,008/417,216 = 417,216/x
  3. Step 3: Cross multiply
    193,008x = 417,216 × 417,216
  4. Step 4: Simplify right side
    193,008x = 174,069,190,656
  5. Step 5: Solve for x
    x = 174,069,190,656/193,008
  6. Step 6: Final answer
    x = 901,875.52

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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.