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Finding the Third Proportional to 180,920.25 and 265,956.75

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Solution

The third proportional to 180,920.25 and 265,956.75 is: 390,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,920.25 : 265,956.75 = 265,956.75 : x
  2. Step 2: Convert to fraction form
    180,920.25/265,956.75 = 265,956.75/x
  3. Step 3: Cross multiply
    180,920.25x = 265,956.75 × 265,956.75
  4. Step 4: Simplify right side
    180,920.25x = 70,732,992,870.56
  5. Step 5: Solve for x
    x = 70,732,992,870.56/180,920.25
  6. Step 6: Final answer
    x = 390,962.28

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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.