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Finding the Third Proportional to 123,250 and 190,312

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Solution

The third proportional to 123,250 and 190,312 is: 293,863.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,250 : 190,312 = 190,312 : x
  2. Step 2: Convert to fraction form
    123,250/190,312 = 190,312/x
  3. Step 3: Cross multiply
    123,250x = 190,312 × 190,312
  4. Step 4: Simplify right side
    123,250x = 36,218,657,344
  5. Step 5: Solve for x
    x = 36,218,657,344/123,250
  6. Step 6: Final answer
    x = 293,863.35

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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.