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Finding the Third Proportional to 210,017 and 336,893

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Solution

The third proportional to 210,017 and 336,893 is: 540,417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,017 : 336,893 = 336,893 : x
  2. Step 2: Convert to fraction form
    210,017/336,893 = 336,893/x
  3. Step 3: Cross multiply
    210,017x = 336,893 × 336,893
  4. Step 4: Simplify right side
    210,017x = 113,496,893,449
  5. Step 5: Solve for x
    x = 113,496,893,449/210,017
  6. Step 6: Final answer
    x = 540,417.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.