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Finding the Third Proportional to 63,194 and 146,297

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Solution

The third proportional to 63,194 and 146,297 is: 338,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,194 : 146,297 = 146,297 : x
  2. Step 2: Convert to fraction form
    63,194/146,297 = 146,297/x
  3. Step 3: Cross multiply
    63,194x = 146,297 × 146,297
  4. Step 4: Simplify right side
    63,194x = 21,402,812,209
  5. Step 5: Solve for x
    x = 21,402,812,209/63,194
  6. Step 6: Final answer
    x = 338,684.25

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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.