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Finding the Third Proportional to 170,055 and 265,423.50

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Solution

The third proportional to 170,055 and 265,423.50 is: 414,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,055 : 265,423.50 = 265,423.50 : x
  2. Step 2: Convert to fraction form
    170,055/265,423.50 = 265,423.50/x
  3. Step 3: Cross multiply
    170,055x = 265,423.50 × 265,423.50
  4. Step 4: Simplify right side
    170,055x = 70,449,634,352.25
  5. Step 5: Solve for x
    x = 70,449,634,352.25/170,055
  6. Step 6: Final answer
    x = 414,275.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.