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Finding the Third Proportional to 181,526 and 277,211

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Solution

The third proportional to 181,526 and 277,211 is: 423,332.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,526 : 277,211 = 277,211 : x
  2. Step 2: Convert to fraction form
    181,526/277,211 = 277,211/x
  3. Step 3: Cross multiply
    181,526x = 277,211 × 277,211
  4. Step 4: Simplify right side
    181,526x = 76,845,938,521
  5. Step 5: Solve for x
    x = 76,845,938,521/181,526
  6. Step 6: Final answer
    x = 423,332.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.