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Finding the Third Proportional to 242,776.50 and 367,539.75

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Solution

The third proportional to 242,776.50 and 367,539.75 is: 556,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,776.50 : 367,539.75 = 367,539.75 : x
  2. Step 2: Convert to fraction form
    242,776.50/367,539.75 = 367,539.75/x
  3. Step 3: Cross multiply
    242,776.50x = 367,539.75 × 367,539.75
  4. Step 4: Simplify right side
    242,776.50x = 135,085,467,830.06
  5. Step 5: Solve for x
    x = 135,085,467,830.06/242,776.50
  6. Step 6: Final answer
    x = 556,419.04

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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.