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Finding the Third Proportional to 219,435.75 and 338,266.13

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Solution

The third proportional to 219,435.75 and 338,266.13 is: 521,446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,435.75 : 338,266.13 = 338,266.13 : x
  2. Step 2: Convert to fraction form
    219,435.75/338,266.13 = 338,266.13/x
  3. Step 3: Cross multiply
    219,435.75x = 338,266.13 × 338,266.13
  4. Step 4: Simplify right side
    219,435.75x = 114,423,971,322.52
  5. Step 5: Solve for x
    x = 114,423,971,322.52/219,435.75
  6. Step 6: Final answer
    x = 521,446.35

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.