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Finding the Third Proportional to 214,239.94 and 314,730.56

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Solution

The third proportional to 214,239.94 and 314,730.56 is: 462,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,239.94 : 314,730.56 = 314,730.56 : x
  2. Step 2: Convert to fraction form
    214,239.94/314,730.56 = 314,730.56/x
  3. Step 3: Cross multiply
    214,239.94x = 314,730.56 × 314,730.56
  4. Step 4: Simplify right side
    214,239.94x = 99,055,326,971.57
  5. Step 5: Solve for x
    x = 99,055,326,971.57/214,239.94
  6. Step 6: Final answer
    x = 462,356.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.