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Finding the Third Proportional to 217,070 and 336,063

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Solution

The third proportional to 217,070 and 336,063 is: 520,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,070 : 336,063 = 336,063 : x
  2. Step 2: Convert to fraction form
    217,070/336,063 = 336,063/x
  3. Step 3: Cross multiply
    217,070x = 336,063 × 336,063
  4. Step 4: Simplify right side
    217,070x = 112,938,339,969
  5. Step 5: Solve for x
    x = 112,938,339,969/217,070
  6. Step 6: Final answer
    x = 520,285.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.