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Finding the Third Proportional to 231,139.50 and 497,271

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Solution

The third proportional to 231,139.50 and 497,271 is: 1,069,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,139.50 : 497,271 = 497,271 : x
  2. Step 2: Convert to fraction form
    231,139.50/497,271 = 497,271/x
  3. Step 3: Cross multiply
    231,139.50x = 497,271 × 497,271
  4. Step 4: Simplify right side
    231,139.50x = 247,278,447,441
  5. Step 5: Solve for x
    x = 247,278,447,441/231,139.50
  6. Step 6: Final answer
    x = 1,069,823.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.