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Finding the Third Proportional to 193,782 and 417,246

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Solution

The third proportional to 193,782 and 417,246 is: 898,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,782 : 417,246 = 417,246 : x
  2. Step 2: Convert to fraction form
    193,782/417,246 = 417,246/x
  3. Step 3: Cross multiply
    193,782x = 417,246 × 417,246
  4. Step 4: Simplify right side
    193,782x = 174,094,224,516
  5. Step 5: Solve for x
    x = 174,094,224,516/193,782
  6. Step 6: Final answer
    x = 898,402.45

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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.