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Finding the Third Proportional to 159,213 and 216,341

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Solution

The third proportional to 159,213 and 216,341 is: 293,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,213 : 216,341 = 216,341 : x
  2. Step 2: Convert to fraction form
    159,213/216,341 = 216,341/x
  3. Step 3: Cross multiply
    159,213x = 216,341 × 216,341
  4. Step 4: Simplify right side
    159,213x = 46,803,428,281
  5. Step 5: Solve for x
    x = 46,803,428,281/159,213
  6. Step 6: Final answer
    x = 293,967.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.