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Finding the Third Proportional to 180,895.13 and 265,923

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Solution

The third proportional to 180,895.13 and 265,923 is: 390,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,895.13 : 265,923 = 265,923 : x
  2. Step 2: Convert to fraction form
    180,895.13/265,923 = 265,923/x
  3. Step 3: Cross multiply
    180,895.13x = 265,923 × 265,923
  4. Step 4: Simplify right side
    180,895.13x = 70,715,041,929
  5. Step 5: Solve for x
    x = 70,715,041,929/180,895.13
  6. Step 6: Final answer
    x = 390,917.34

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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.