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Finding the Third Proportional to 121,238 and 263,461

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Solution

The third proportional to 121,238 and 263,461 is: 572,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,238 : 263,461 = 263,461 : x
  2. Step 2: Convert to fraction form
    121,238/263,461 = 263,461/x
  3. Step 3: Cross multiply
    121,238x = 263,461 × 263,461
  4. Step 4: Simplify right side
    121,238x = 69,411,698,521
  5. Step 5: Solve for x
    x = 69,411,698,521/121,238
  6. Step 6: Final answer
    x = 572,524.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.