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Finding the Third Proportional to 208,042 and 425,944

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Solution

The third proportional to 208,042 and 425,944 is: 872,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,042 : 425,944 = 425,944 : x
  2. Step 2: Convert to fraction form
    208,042/425,944 = 425,944/x
  3. Step 3: Cross multiply
    208,042x = 425,944 × 425,944
  4. Step 4: Simplify right side
    208,042x = 181,428,291,136
  5. Step 5: Solve for x
    x = 181,428,291,136/208,042
  6. Step 6: Final answer
    x = 872,075.31

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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.