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Finding the Third Proportional to 116,840 and 253,363

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Solution

The third proportional to 116,840 and 253,363 is: 549,407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,840 : 253,363 = 253,363 : x
  2. Step 2: Convert to fraction form
    116,840/253,363 = 253,363/x
  3. Step 3: Cross multiply
    116,840x = 253,363 × 253,363
  4. Step 4: Simplify right side
    116,840x = 64,192,809,769
  5. Step 5: Solve for x
    x = 64,192,809,769/116,840
  6. Step 6: Final answer
    x = 549,407.82

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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.