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Finding the Third Proportional to 208,417.50 and 322,922.25

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Solution

The third proportional to 208,417.50 and 322,922.25 is: 500,336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,417.50 : 322,922.25 = 322,922.25 : x
  2. Step 2: Convert to fraction form
    208,417.50/322,922.25 = 322,922.25/x
  3. Step 3: Cross multiply
    208,417.50x = 322,922.25 × 322,922.25
  4. Step 4: Simplify right side
    208,417.50x = 104,278,779,545.06
  5. Step 5: Solve for x
    x = 104,278,779,545.06/208,417.50
  6. Step 6: Final answer
    x = 500,336.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.