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Finding the Third Proportional to 236,402 and 354,603

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Solution

The third proportional to 236,402 and 354,603 is: 531,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,402 : 354,603 = 354,603 : x
  2. Step 2: Convert to fraction form
    236,402/354,603 = 354,603/x
  3. Step 3: Cross multiply
    236,402x = 354,603 × 354,603
  4. Step 4: Simplify right side
    236,402x = 125,743,287,609
  5. Step 5: Solve for x
    x = 125,743,287,609/236,402
  6. Step 6: Final answer
    x = 531,904.50

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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.