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Finding the Third Proportional to 175,259.25 and 381,271.50

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Solution

The third proportional to 175,259.25 and 381,271.50 is: 829,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,259.25 : 381,271.50 = 381,271.50 : x
  2. Step 2: Convert to fraction form
    175,259.25/381,271.50 = 381,271.50/x
  3. Step 3: Cross multiply
    175,259.25x = 381,271.50 × 381,271.50
  4. Step 4: Simplify right side
    175,259.25x = 145,367,956,712.25
  5. Step 5: Solve for x
    x = 145,367,956,712.25/175,259.25
  6. Step 6: Final answer
    x = 829,445.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.