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Finding the Third Proportional to 213,856.14 and 333,051.91

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Solution

The third proportional to 213,856.14 and 333,051.91 is: 518,683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,856.14 : 333,051.91 = 333,051.91 : x
  2. Step 2: Convert to fraction form
    213,856.14/333,051.91 = 333,051.91/x
  3. Step 3: Cross multiply
    213,856.14x = 333,051.91 × 333,051.91
  4. Step 4: Simplify right side
    213,856.14x = 110,923,573,557.74
  5. Step 5: Solve for x
    x = 110,923,573,557.74/213,856.14
  6. Step 6: Final answer
    x = 518,683.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.