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Finding the Third Proportional to 169,476 and 224,892

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Solution

The third proportional to 169,476 and 224,892 is: 298,428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,476 : 224,892 = 224,892 : x
  2. Step 2: Convert to fraction form
    169,476/224,892 = 224,892/x
  3. Step 3: Cross multiply
    169,476x = 224,892 × 224,892
  4. Step 4: Simplify right side
    169,476x = 50,576,411,664
  5. Step 5: Solve for x
    x = 50,576,411,664/169,476
  6. Step 6: Final answer
    x = 298,428.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.