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Finding the Third Proportional to 145,937.25 and 319,554

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Solution

The third proportional to 145,937.25 and 319,554 is: 699,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,937.25 : 319,554 = 319,554 : x
  2. Step 2: Convert to fraction form
    145,937.25/319,554 = 319,554/x
  3. Step 3: Cross multiply
    145,937.25x = 319,554 × 319,554
  4. Step 4: Simplify right side
    145,937.25x = 102,114,758,916
  5. Step 5: Solve for x
    x = 102,114,758,916/145,937.25
  6. Step 6: Final answer
    x = 699,716.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.