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Finding the Third Proportional to 214,620.38 and 291,482.75

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Solution

The third proportional to 214,620.38 and 291,482.75 is: 395,871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,620.38 : 291,482.75 = 291,482.75 : x
  2. Step 2: Convert to fraction form
    214,620.38/291,482.75 = 291,482.75/x
  3. Step 3: Cross multiply
    214,620.38x = 291,482.75 × 291,482.75
  4. Step 4: Simplify right side
    214,620.38x = 84,962,193,547.56
  5. Step 5: Solve for x
    x = 84,962,193,547.56/214,620.38
  6. Step 6: Final answer
    x = 395,871.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.