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Finding the Third Proportional to 239,308 and 370,501

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Solution

The third proportional to 239,308 and 370,501 is: 573,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,308 : 370,501 = 370,501 : x
  2. Step 2: Convert to fraction form
    239,308/370,501 = 370,501/x
  3. Step 3: Cross multiply
    239,308x = 370,501 × 370,501
  4. Step 4: Simplify right side
    239,308x = 137,270,991,001
  5. Step 5: Solve for x
    x = 137,270,991,001/239,308
  6. Step 6: Final answer
    x = 573,616.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.