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Finding the Third Proportional to 189,770 and 410,708

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Solution

The third proportional to 189,770 and 410,708 is: 888,871.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,770 : 410,708 = 410,708 : x
  2. Step 2: Convert to fraction form
    189,770/410,708 = 410,708/x
  3. Step 3: Cross multiply
    189,770x = 410,708 × 410,708
  4. Step 4: Simplify right side
    189,770x = 168,681,061,264
  5. Step 5: Solve for x
    x = 168,681,061,264/189,770
  6. Step 6: Final answer
    x = 888,871.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.