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Finding the Third Proportional to 84,931.50 and 188,271

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Solution

The third proportional to 84,931.50 and 188,271 is: 417,347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,931.50 : 188,271 = 188,271 : x
  2. Step 2: Convert to fraction form
    84,931.50/188,271 = 188,271/x
  3. Step 3: Cross multiply
    84,931.50x = 188,271 × 188,271
  4. Step 4: Simplify right side
    84,931.50x = 35,445,969,441
  5. Step 5: Solve for x
    x = 35,445,969,441/84,931.50
  6. Step 6: Final answer
    x = 417,347.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.