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Finding the Third Proportional to 202,359 and 443,263

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Solution

The third proportional to 202,359 and 443,263 is: 970,957.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,359 : 443,263 = 443,263 : x
  2. Step 2: Convert to fraction form
    202,359/443,263 = 443,263/x
  3. Step 3: Cross multiply
    202,359x = 443,263 × 443,263
  4. Step 4: Simplify right side
    202,359x = 196,482,087,169
  5. Step 5: Solve for x
    x = 196,482,087,169/202,359
  6. Step 6: Final answer
    x = 970,957.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.