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Finding the Third Proportional to 141,837 and 216,522

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Solution

The third proportional to 141,837 and 216,522 is: 330,532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,837 : 216,522 = 216,522 : x
  2. Step 2: Convert to fraction form
    141,837/216,522 = 216,522/x
  3. Step 3: Cross multiply
    141,837x = 216,522 × 216,522
  4. Step 4: Simplify right side
    141,837x = 46,881,776,484
  5. Step 5: Solve for x
    x = 46,881,776,484/141,837
  6. Step 6: Final answer
    x = 330,532.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.