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Finding the Third Proportional to 75,424 and 160,316

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Solution

The third proportional to 75,424 and 160,316 is: 340,756.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,424 : 160,316 = 160,316 : x
  2. Step 2: Convert to fraction form
    75,424/160,316 = 160,316/x
  3. Step 3: Cross multiply
    75,424x = 160,316 × 160,316
  4. Step 4: Simplify right side
    75,424x = 25,701,219,856
  5. Step 5: Solve for x
    x = 25,701,219,856/75,424
  6. Step 6: Final answer
    x = 340,756.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.