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Finding the Third Proportional to 210,524 and 325,898

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Solution

The third proportional to 210,524 and 325,898 is: 504,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,524 : 325,898 = 325,898 : x
  2. Step 2: Convert to fraction form
    210,524/325,898 = 325,898/x
  3. Step 3: Cross multiply
    210,524x = 325,898 × 325,898
  4. Step 4: Simplify right side
    210,524x = 106,209,506,404
  5. Step 5: Solve for x
    x = 106,209,506,404/210,524
  6. Step 6: Final answer
    x = 504,500.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.