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Finding the Third Proportional to 214,417.13 and 286,633.69

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Solution

The third proportional to 214,417.13 and 286,633.69 is: 383,173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,417.13 : 286,633.69 = 286,633.69 : x
  2. Step 2: Convert to fraction form
    214,417.13/286,633.69 = 286,633.69/x
  3. Step 3: Cross multiply
    214,417.13x = 286,633.69 × 286,633.69
  4. Step 4: Simplify right side
    214,417.13x = 82,158,870,809.85
  5. Step 5: Solve for x
    x = 82,158,870,809.85/214,417.13
  6. Step 6: Final answer
    x = 383,173.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.