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Finding the Third Proportional to 217,046 and 336,037

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Solution

The third proportional to 217,046 and 336,037 is: 520,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,046 : 336,037 = 336,037 : x
  2. Step 2: Convert to fraction form
    217,046/336,037 = 336,037/x
  3. Step 3: Cross multiply
    217,046x = 336,037 × 336,037
  4. Step 4: Simplify right side
    217,046x = 112,920,865,369
  5. Step 5: Solve for x
    x = 112,920,865,369/217,046
  6. Step 6: Final answer
    x = 520,262.37

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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.