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Finding the Third Proportional to 116,284 and 252,332

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Solution

The third proportional to 116,284 and 252,332 is: 547,551.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,284 : 252,332 = 252,332 : x
  2. Step 2: Convert to fraction form
    116,284/252,332 = 252,332/x
  3. Step 3: Cross multiply
    116,284x = 252,332 × 252,332
  4. Step 4: Simplify right side
    116,284x = 63,671,438,224
  5. Step 5: Solve for x
    x = 63,671,438,224/116,284
  6. Step 6: Final answer
    x = 547,551.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.