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Finding the Third Proportional to 116,908 and 253,490

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Solution

The third proportional to 116,908 and 253,490 is: 549,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,908 : 253,490 = 253,490 : x
  2. Step 2: Convert to fraction form
    116,908/253,490 = 253,490/x
  3. Step 3: Cross multiply
    116,908x = 253,490 × 253,490
  4. Step 4: Simplify right side
    116,908x = 64,257,180,100
  5. Step 5: Solve for x
    x = 64,257,180,100/116,908
  6. Step 6: Final answer
    x = 549,638.86

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