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Finding the Third Proportional to 141,126 and 304,409

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Solution

The third proportional to 141,126 and 304,409 is: 656,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,126 : 304,409 = 304,409 : x
  2. Step 2: Convert to fraction form
    141,126/304,409 = 304,409/x
  3. Step 3: Cross multiply
    141,126x = 304,409 × 304,409
  4. Step 4: Simplify right side
    141,126x = 92,664,839,281
  5. Step 5: Solve for x
    x = 92,664,839,281/141,126
  6. Step 6: Final answer
    x = 656,610.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.