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Finding the Third Proportional to 117,352 and 248,624

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Solution

The third proportional to 117,352 and 248,624 is: 526,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,352 : 248,624 = 248,624 : x
  2. Step 2: Convert to fraction form
    117,352/248,624 = 248,624/x
  3. Step 3: Cross multiply
    117,352x = 248,624 × 248,624
  4. Step 4: Simplify right side
    117,352x = 61,813,893,376
  5. Step 5: Solve for x
    x = 61,813,893,376/117,352
  6. Step 6: Final answer
    x = 526,739.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.