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Finding the Third Proportional to 214,867.13 and 455,347.13

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Solution

The third proportional to 214,867.13 and 455,347.13 is: 964,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,867.13 : 455,347.13 = 455,347.13 : x
  2. Step 2: Convert to fraction form
    214,867.13/455,347.13 = 455,347.13/x
  3. Step 3: Cross multiply
    214,867.13x = 455,347.13 × 455,347.13
  4. Step 4: Simplify right side
    214,867.13x = 207,341,004,245.77
  5. Step 5: Solve for x
    x = 207,341,004,245.77/214,867.13
  6. Step 6: Final answer
    x = 964,973.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.