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Finding the Third Proportional to 239,156.13 and 524,963

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Solution

The third proportional to 239,156.13 and 524,963 is: 1,152,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,156.13 : 524,963 = 524,963 : x
  2. Step 2: Convert to fraction form
    239,156.13/524,963 = 524,963/x
  3. Step 3: Cross multiply
    239,156.13x = 524,963 × 524,963
  4. Step 4: Simplify right side
    239,156.13x = 275,586,151,369
  5. Step 5: Solve for x
    x = 275,586,151,369/239,156.13
  6. Step 6: Final answer
    x = 1,152,327.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.