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Finding the Third Proportional to 141,812.25 and 302,396.25

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Solution

The third proportional to 141,812.25 and 302,396.25 is: 644,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,812.25 : 302,396.25 = 302,396.25 : x
  2. Step 2: Convert to fraction form
    141,812.25/302,396.25 = 302,396.25/x
  3. Step 3: Cross multiply
    141,812.25x = 302,396.25 × 302,396.25
  4. Step 4: Simplify right side
    141,812.25x = 91,443,492,014.06
  5. Step 5: Solve for x
    x = 91,443,492,014.06/141,812.25
  6. Step 6: Final answer
    x = 644,820.82

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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.