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Finding the Third Proportional to 180,895.94 and 265,924.13

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Solution

The third proportional to 180,895.94 and 265,924.13 is: 390,918.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,895.94 : 265,924.13 = 265,924.13 : x
  2. Step 2: Convert to fraction form
    180,895.94/265,924.13 = 265,924.13/x
  3. Step 3: Cross multiply
    180,895.94x = 265,924.13 × 265,924.13
  4. Step 4: Simplify right side
    180,895.94x = 70,715,640,257.02
  5. Step 5: Solve for x
    x = 70,715,640,257.02/180,895.94
  6. Step 6: Final answer
    x = 390,918.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.