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Finding the Third Proportional to 151,866 and 241,362

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Solution

The third proportional to 151,866 and 241,362 is: 383,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,866 : 241,362 = 241,362 : x
  2. Step 2: Convert to fraction form
    151,866/241,362 = 241,362/x
  3. Step 3: Cross multiply
    151,866x = 241,362 × 241,362
  4. Step 4: Simplify right side
    151,866x = 58,255,615,044
  5. Step 5: Solve for x
    x = 58,255,615,044/151,866
  6. Step 6: Final answer
    x = 383,598.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.