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Finding the Third Proportional to 242,503.75 and 367,110.25

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Solution

The third proportional to 242,503.75 and 367,110.25 is: 555,743.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,503.75 : 367,110.25 = 367,110.25 : x
  2. Step 2: Convert to fraction form
    242,503.75/367,110.25 = 367,110.25/x
  3. Step 3: Cross multiply
    242,503.75x = 367,110.25 × 367,110.25
  4. Step 4: Simplify right side
    242,503.75x = 134,769,935,655.06
  5. Step 5: Solve for x
    x = 134,769,935,655.06/242,503.75
  6. Step 6: Final answer
    x = 555,743.72

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Why These Related Problems?

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