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Finding the Third Proportional to 215,148 and 468,294.75

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Solution

The third proportional to 215,148 and 468,294.75 is: 1,019,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,148 : 468,294.75 = 468,294.75 : x
  2. Step 2: Convert to fraction form
    215,148/468,294.75 = 468,294.75/x
  3. Step 3: Cross multiply
    215,148x = 468,294.75 × 468,294.75
  4. Step 4: Simplify right side
    215,148x = 219,299,972,877.56
  5. Step 5: Solve for x
    x = 219,299,972,877.56/215,148
  6. Step 6: Final answer
    x = 1,019,298.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.