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Finding the Third Proportional to 242,808 and 367,598

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Solution

The third proportional to 242,808 and 367,598 is: 556,523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,808 : 367,598 = 367,598 : x
  2. Step 2: Convert to fraction form
    242,808/367,598 = 367,598/x
  3. Step 3: Cross multiply
    242,808x = 367,598 × 367,598
  4. Step 4: Simplify right side
    242,808x = 135,128,289,604
  5. Step 5: Solve for x
    x = 135,128,289,604/242,808
  6. Step 6: Final answer
    x = 556,523.22

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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.