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Finding the Third Proportional to 63,216 and 146,346

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Solution

The third proportional to 63,216 and 146,346 is: 338,793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,216 : 146,346 = 146,346 : x
  2. Step 2: Convert to fraction form
    63,216/146,346 = 146,346/x
  3. Step 3: Cross multiply
    63,216x = 146,346 × 146,346
  4. Step 4: Simplify right side
    63,216x = 21,417,151,716
  5. Step 5: Solve for x
    x = 21,417,151,716/63,216
  6. Step 6: Final answer
    x = 338,793.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.