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Finding the Third Proportional to 123,485 and 190,358

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Solution

The third proportional to 123,485 and 190,358 is: 293,445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,485 : 190,358 = 190,358 : x
  2. Step 2: Convert to fraction form
    123,485/190,358 = 190,358/x
  3. Step 3: Cross multiply
    123,485x = 190,358 × 190,358
  4. Step 4: Simplify right side
    123,485x = 36,236,168,164
  5. Step 5: Solve for x
    x = 36,236,168,164/123,485
  6. Step 6: Final answer
    x = 293,445.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.