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Finding the Third Proportional to 153,408.94 and 328,141.13

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Solution

The third proportional to 153,408.94 and 328,141.13 is: 701,892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,408.94 : 328,141.13 = 328,141.13 : x
  2. Step 2: Convert to fraction form
    153,408.94/328,141.13 = 328,141.13/x
  3. Step 3: Cross multiply
    153,408.94x = 328,141.13 × 328,141.13
  4. Step 4: Simplify right side
    153,408.94x = 107,676,597,916.27
  5. Step 5: Solve for x
    x = 107,676,597,916.27/153,408.94
  6. Step 6: Final answer
    x = 701,892.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.