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Finding the Third Proportional to 202,419 and 432,868.50

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Solution

The third proportional to 202,419 and 432,868.50 is: 925,679.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,419 : 432,868.50 = 432,868.50 : x
  2. Step 2: Convert to fraction form
    202,419/432,868.50 = 432,868.50/x
  3. Step 3: Cross multiply
    202,419x = 432,868.50 × 432,868.50
  4. Step 4: Simplify right side
    202,419x = 187,375,138,292.25
  5. Step 5: Solve for x
    x = 187,375,138,292.25/202,419
  6. Step 6: Final answer
    x = 925,679.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.