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Finding the Third Proportional to 151,864 and 354,820

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Solution

The third proportional to 151,864 and 354,820 is: 829,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,864 : 354,820 = 354,820 : x
  2. Step 2: Convert to fraction form
    151,864/354,820 = 354,820/x
  3. Step 3: Cross multiply
    151,864x = 354,820 × 354,820
  4. Step 4: Simplify right side
    151,864x = 125,897,232,400
  5. Step 5: Solve for x
    x = 125,897,232,400/151,864
  6. Step 6: Final answer
    x = 829,013.01

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.