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Finding the Third Proportional to 208,038 and 425,934

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Solution

The third proportional to 208,038 and 425,934 is: 872,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,038 : 425,934 = 425,934 : x
  2. Step 2: Convert to fraction form
    208,038/425,934 = 425,934/x
  3. Step 3: Cross multiply
    208,038x = 425,934 × 425,934
  4. Step 4: Simplify right side
    208,038x = 181,419,772,356
  5. Step 5: Solve for x
    x = 181,419,772,356/208,038
  6. Step 6: Final answer
    x = 872,051.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.