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Finding the Third Proportional to 180,585 and 241,594

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Solution

The third proportional to 180,585 and 241,594 is: 323,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,585 : 241,594 = 241,594 : x
  2. Step 2: Convert to fraction form
    180,585/241,594 = 241,594/x
  3. Step 3: Cross multiply
    180,585x = 241,594 × 241,594
  4. Step 4: Simplify right side
    180,585x = 58,367,660,836
  5. Step 5: Solve for x
    x = 58,367,660,836/180,585
  6. Step 6: Final answer
    x = 323,214.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.