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Finding the Third Proportional to 236,347.50 and 354,693

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Solution

The third proportional to 236,347.50 and 354,693 is: 532,297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,347.50 : 354,693 = 354,693 : x
  2. Step 2: Convert to fraction form
    236,347.50/354,693 = 354,693/x
  3. Step 3: Cross multiply
    236,347.50x = 354,693 × 354,693
  4. Step 4: Simplify right side
    236,347.50x = 125,807,124,249
  5. Step 5: Solve for x
    x = 125,807,124,249/236,347.50
  6. Step 6: Final answer
    x = 532,297.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.