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Finding the Third Proportional to 148,398.75 and 302,037.75

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Solution

The third proportional to 148,398.75 and 302,037.75 is: 614,741.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,398.75 : 302,037.75 = 302,037.75 : x
  2. Step 2: Convert to fraction form
    148,398.75/302,037.75 = 302,037.75/x
  3. Step 3: Cross multiply
    148,398.75x = 302,037.75 × 302,037.75
  4. Step 4: Simplify right side
    148,398.75x = 91,226,802,425.06
  5. Step 5: Solve for x
    x = 91,226,802,425.06/148,398.75
  6. Step 6: Final answer
    x = 614,741.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.