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Finding the Third Proportional to 245,000 and 367,502

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Solution

The third proportional to 245,000 and 367,502 is: 551,256.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,000 : 367,502 = 367,502 : x
  2. Step 2: Convert to fraction form
    245,000/367,502 = 367,502/x
  3. Step 3: Cross multiply
    245,000x = 367,502 × 367,502
  4. Step 4: Simplify right side
    245,000x = 135,057,720,004
  5. Step 5: Solve for x
    x = 135,057,720,004/245,000
  6. Step 6: Final answer
    x = 551,256.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.