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Finding the Third Proportional to 236,407.50 and 354,854.25

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Solution

The third proportional to 236,407.50 and 354,854.25 is: 532,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,407.50 : 354,854.25 = 354,854.25 : x
  2. Step 2: Convert to fraction form
    236,407.50/354,854.25 = 354,854.25/x
  3. Step 3: Cross multiply
    236,407.50x = 354,854.25 × 354,854.25
  4. Step 4: Simplify right side
    236,407.50x = 125,921,538,743.06
  5. Step 5: Solve for x
    x = 125,921,538,743.06/236,407.50
  6. Step 6: Final answer
    x = 532,646.12

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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.