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Finding the Third Proportional to 191,533 and 388,537

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Solution

The third proportional to 191,533 and 388,537 is: 788,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,533 : 388,537 = 388,537 : x
  2. Step 2: Convert to fraction form
    191,533/388,537 = 388,537/x
  3. Step 3: Cross multiply
    191,533x = 388,537 × 388,537
  4. Step 4: Simplify right side
    191,533x = 150,961,000,369
  5. Step 5: Solve for x
    x = 150,961,000,369/191,533
  6. Step 6: Final answer
    x = 788,172.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.