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Finding the Third Proportional to 65,332 and 145,232

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Solution

The third proportional to 65,332 and 145,232 is: 322,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,332 : 145,232 = 145,232 : x
  2. Step 2: Convert to fraction form
    65,332/145,232 = 145,232/x
  3. Step 3: Cross multiply
    65,332x = 145,232 × 145,232
  4. Step 4: Simplify right side
    65,332x = 21,092,333,824
  5. Step 5: Solve for x
    x = 21,092,333,824/65,332
  6. Step 6: Final answer
    x = 322,848.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.