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Finding the Third Proportional to 236,437 and 353,821.50

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Solution

The third proportional to 236,437 and 353,821.50 is: 529,484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,437 : 353,821.50 = 353,821.50 : x
  2. Step 2: Convert to fraction form
    236,437/353,821.50 = 353,821.50/x
  3. Step 3: Cross multiply
    236,437x = 353,821.50 × 353,821.50
  4. Step 4: Simplify right side
    236,437x = 125,189,653,862.25
  5. Step 5: Solve for x
    x = 125,189,653,862.25/236,437
  6. Step 6: Final answer
    x = 529,484.19

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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.