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Finding the Third Proportional to 137,248.49 and 297,406.37

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Solution

The third proportional to 137,248.49 and 297,406.37 is: 644,455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,248.49 : 297,406.37 = 297,406.37 : x
  2. Step 2: Convert to fraction form
    137,248.49/297,406.37 = 297,406.37/x
  3. Step 3: Cross multiply
    137,248.49x = 297,406.37 × 297,406.37
  4. Step 4: Simplify right side
    137,248.49x = 88,450,549,567.15
  5. Step 5: Solve for x
    x = 88,450,549,567.15/137,248.49
  6. Step 6: Final answer
    x = 644,455.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.