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Finding the Third Proportional to 117,232 and 248,416

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Solution

The third proportional to 117,232 and 248,416 is: 526,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,232 : 248,416 = 248,416 : x
  2. Step 2: Convert to fraction form
    117,232/248,416 = 248,416/x
  3. Step 3: Cross multiply
    117,232x = 248,416 × 248,416
  4. Step 4: Simplify right side
    117,232x = 61,710,509,056
  5. Step 5: Solve for x
    x = 61,710,509,056/117,232
  6. Step 6: Final answer
    x = 526,396.45

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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.