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Finding the Third Proportional to 215,346.94 and 316,360.69

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Solution

The third proportional to 215,346.94 and 316,360.69 is: 464,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,346.94 : 316,360.69 = 316,360.69 : x
  2. Step 2: Convert to fraction form
    215,346.94/316,360.69 = 316,360.69/x
  3. Step 3: Cross multiply
    215,346.94x = 316,360.69 × 316,360.69
  4. Step 4: Simplify right side
    215,346.94x = 100,084,084,595.47
  5. Step 5: Solve for x
    x = 100,084,084,595.47/215,346.94
  6. Step 6: Final answer
    x = 464,757.41

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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.