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Finding the Third Proportional to 238,574 and 365,502

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Solution

The third proportional to 238,574 and 365,502 is: 559,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,574 : 365,502 = 365,502 : x
  2. Step 2: Convert to fraction form
    238,574/365,502 = 365,502/x
  3. Step 3: Cross multiply
    238,574x = 365,502 × 365,502
  4. Step 4: Simplify right side
    238,574x = 133,591,712,004
  5. Step 5: Solve for x
    x = 133,591,712,004/238,574
  6. Step 6: Final answer
    x = 559,959.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.