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Finding the Third Proportional to 109,274.25 and 237,776.25

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Solution

The third proportional to 109,274.25 and 237,776.25 is: 517,391.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,274.25 : 237,776.25 = 237,776.25 : x
  2. Step 2: Convert to fraction form
    109,274.25/237,776.25 = 237,776.25/x
  3. Step 3: Cross multiply
    109,274.25x = 237,776.25 × 237,776.25
  4. Step 4: Simplify right side
    109,274.25x = 56,537,545,064.06
  5. Step 5: Solve for x
    x = 56,537,545,064.06/109,274.25
  6. Step 6: Final answer
    x = 517,391.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.