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Finding the Third Proportional to 139,002 and 297,687

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Solution

The third proportional to 139,002 and 297,687 is: 637,527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,002 : 297,687 = 297,687 : x
  2. Step 2: Convert to fraction form
    139,002/297,687 = 297,687/x
  3. Step 3: Cross multiply
    139,002x = 297,687 × 297,687
  4. Step 4: Simplify right side
    139,002x = 88,617,549,969
  5. Step 5: Solve for x
    x = 88,617,549,969/139,002
  6. Step 6: Final answer
    x = 637,527.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.