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Finding the Third Proportional to 199,732.50 and 438,264

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Solution

The third proportional to 199,732.50 and 438,264 is: 961,662.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,732.50 : 438,264 = 438,264 : x
  2. Step 2: Convert to fraction form
    199,732.50/438,264 = 438,264/x
  3. Step 3: Cross multiply
    199,732.50x = 438,264 × 438,264
  4. Step 4: Simplify right side
    199,732.50x = 192,075,333,696
  5. Step 5: Solve for x
    x = 192,075,333,696/199,732.50
  6. Step 6: Final answer
    x = 961,662.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.