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Finding the Third Proportional to 208,036 and 425,931

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Solution

The third proportional to 208,036 and 425,931 is: 872,047.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,036 : 425,931 = 425,931 : x
  2. Step 2: Convert to fraction form
    208,036/425,931 = 425,931/x
  3. Step 3: Cross multiply
    208,036x = 425,931 × 425,931
  4. Step 4: Simplify right side
    208,036x = 181,417,216,761
  5. Step 5: Solve for x
    x = 181,417,216,761/208,036
  6. Step 6: Final answer
    x = 872,047.23

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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.