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Finding the Third Proportional to 208,030.50 and 425,920.50

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Solution

The third proportional to 208,030.50 and 425,920.50 is: 872,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,030.50 : 425,920.50 = 425,920.50 : x
  2. Step 2: Convert to fraction form
    208,030.50/425,920.50 = 425,920.50/x
  3. Step 3: Cross multiply
    208,030.50x = 425,920.50 × 425,920.50
  4. Step 4: Simplify right side
    208,030.50x = 181,408,272,320.25
  5. Step 5: Solve for x
    x = 181,408,272,320.25/208,030.50
  6. Step 6: Final answer
    x = 872,027.29

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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.