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Finding the Third Proportional to 236,345 and 354,693.50

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Solution

The third proportional to 236,345 and 354,693.50 is: 532,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,345 : 354,693.50 = 354,693.50 : x
  2. Step 2: Convert to fraction form
    236,345/354,693.50 = 354,693.50/x
  3. Step 3: Cross multiply
    236,345x = 354,693.50 × 354,693.50
  4. Step 4: Simplify right side
    236,345x = 125,807,478,942.25
  5. Step 5: Solve for x
    x = 125,807,478,942.25/236,345
  6. Step 6: Final answer
    x = 532,304.38

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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.