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Finding the Third Proportional to 141,348.09 and 304,839.84

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Solution

The third proportional to 141,348.09 and 304,839.84 is: 657,436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,348.09 : 304,839.84 = 304,839.84 : x
  2. Step 2: Convert to fraction form
    141,348.09/304,839.84 = 304,839.84/x
  3. Step 3: Cross multiply
    141,348.09x = 304,839.84 × 304,839.84
  4. Step 4: Simplify right side
    141,348.09x = 92,927,330,337.52
  5. Step 5: Solve for x
    x = 92,927,330,337.52/141,348.09
  6. Step 6: Final answer
    x = 657,436.04

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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.