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Finding the Third Proportional to 149,382 and 236,502

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Solution

The third proportional to 149,382 and 236,502 is: 374,430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,382 : 236,502 = 236,502 : x
  2. Step 2: Convert to fraction form
    149,382/236,502 = 236,502/x
  3. Step 3: Cross multiply
    149,382x = 236,502 × 236,502
  4. Step 4: Simplify right side
    149,382x = 55,933,196,004
  5. Step 5: Solve for x
    x = 55,933,196,004/149,382
  6. Step 6: Final answer
    x = 374,430.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.