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Finding the Third Proportional to 136,162 and 297,572

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Solution

The third proportional to 136,162 and 297,572 is: 650,321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,162 : 297,572 = 297,572 : x
  2. Step 2: Convert to fraction form
    136,162/297,572 = 297,572/x
  3. Step 3: Cross multiply
    136,162x = 297,572 × 297,572
  4. Step 4: Simplify right side
    136,162x = 88,549,095,184
  5. Step 5: Solve for x
    x = 88,549,095,184/136,162
  6. Step 6: Final answer
    x = 650,321.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.