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Finding the Third Proportional to 109,340.25 and 178,544.25

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Solution

The third proportional to 109,340.25 and 178,544.25 is: 291,549.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,340.25 : 178,544.25 = 178,544.25 : x
  2. Step 2: Convert to fraction form
    109,340.25/178,544.25 = 178,544.25/x
  3. Step 3: Cross multiply
    109,340.25x = 178,544.25 × 178,544.25
  4. Step 4: Simplify right side
    109,340.25x = 31,878,049,208.06
  5. Step 5: Solve for x
    x = 31,878,049,208.06/109,340.25
  6. Step 6: Final answer
    x = 291,549.08

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.