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Finding the Third Proportional to 239,377 and 364,038

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Solution

The third proportional to 239,377 and 364,038 is: 553,619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,377 : 364,038 = 364,038 : x
  2. Step 2: Convert to fraction form
    239,377/364,038 = 364,038/x
  3. Step 3: Cross multiply
    239,377x = 364,038 × 364,038
  4. Step 4: Simplify right side
    239,377x = 132,523,665,444
  5. Step 5: Solve for x
    x = 132,523,665,444/239,377
  6. Step 6: Final answer
    x = 553,619.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.