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Finding the Third Proportional to 141,823.13 and 302,599.13

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Solution

The third proportional to 141,823.13 and 302,599.13 is: 645,636.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,823.13 : 302,599.13 = 302,599.13 : x
  2. Step 2: Convert to fraction form
    141,823.13/302,599.13 = 302,599.13/x
  3. Step 3: Cross multiply
    141,823.13x = 302,599.13 × 302,599.13
  4. Step 4: Simplify right side
    141,823.13x = 91,566,230,450.77
  5. Step 5: Solve for x
    x = 91,566,230,450.77/141,823.13
  6. Step 6: Final answer
    x = 645,636.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.