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Finding the Third Proportional to 143,886 and 223,417.50

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Solution

The third proportional to 143,886 and 223,417.50 is: 346,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,886 : 223,417.50 = 223,417.50 : x
  2. Step 2: Convert to fraction form
    143,886/223,417.50 = 223,417.50/x
  3. Step 3: Cross multiply
    143,886x = 223,417.50 × 223,417.50
  4. Step 4: Simplify right side
    143,886x = 49,915,379,306.25
  5. Step 5: Solve for x
    x = 49,915,379,306.25/143,886
  6. Step 6: Final answer
    x = 346,909.21

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