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Finding the Third Proportional to 180,877 and 265,902

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Solution

The third proportional to 180,877 and 265,902 is: 390,894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,877 : 265,902 = 265,902 : x
  2. Step 2: Convert to fraction form
    180,877/265,902 = 265,902/x
  3. Step 3: Cross multiply
    180,877x = 265,902 × 265,902
  4. Step 4: Simplify right side
    180,877x = 70,703,873,604
  5. Step 5: Solve for x
    x = 70,703,873,604/180,877
  6. Step 6: Final answer
    x = 390,894.77

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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.