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Finding the Third Proportional to 214,300.13 and 458,125.13

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Solution

The third proportional to 214,300.13 and 458,125.13 is: 979,367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,300.13 : 458,125.13 = 458,125.13 : x
  2. Step 2: Convert to fraction form
    214,300.13/458,125.13 = 458,125.13/x
  3. Step 3: Cross multiply
    214,300.13x = 458,125.13 × 458,125.13
  4. Step 4: Simplify right side
    214,300.13x = 209,878,630,156.27
  5. Step 5: Solve for x
    x = 209,878,630,156.27/214,300.13
  6. Step 6: Final answer
    x = 979,367.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.