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Finding the Third Proportional to 242,763.75 and 367,519.13

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Solution

The third proportional to 242,763.75 and 367,519.13 is: 556,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,763.75 : 367,519.13 = 367,519.13 : x
  2. Step 2: Convert to fraction form
    242,763.75/367,519.13 = 367,519.13/x
  3. Step 3: Cross multiply
    242,763.75x = 367,519.13 × 367,519.13
  4. Step 4: Simplify right side
    242,763.75x = 135,070,307,240.77
  5. Step 5: Solve for x
    x = 135,070,307,240.77/242,763.75
  6. Step 6: Final answer
    x = 556,385.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.