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Finding the Third Proportional to 202,207 and 296,745

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Solution

The third proportional to 202,207 and 296,745 is: 435,482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,207 : 296,745 = 296,745 : x
  2. Step 2: Convert to fraction form
    202,207/296,745 = 296,745/x
  3. Step 3: Cross multiply
    202,207x = 296,745 × 296,745
  4. Step 4: Simplify right side
    202,207x = 88,057,595,025
  5. Step 5: Solve for x
    x = 88,057,595,025/202,207
  6. Step 6: Final answer
    x = 435,482.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.