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Finding the Third Proportional to 145,864 and 218,553

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Solution

The third proportional to 145,864 and 218,553 is: 327,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,864 : 218,553 = 218,553 : x
  2. Step 2: Convert to fraction form
    145,864/218,553 = 218,553/x
  3. Step 3: Cross multiply
    145,864x = 218,553 × 218,553
  4. Step 4: Simplify right side
    145,864x = 47,765,413,809
  5. Step 5: Solve for x
    x = 47,765,413,809/145,864
  6. Step 6: Final answer
    x = 327,465.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.