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Finding the Third Proportional to 236,428 and 354,878

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Solution

The third proportional to 236,428 and 354,878 is: 532,671.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,428 : 354,878 = 354,878 : x
  2. Step 2: Convert to fraction form
    236,428/354,878 = 354,878/x
  3. Step 3: Cross multiply
    236,428x = 354,878 × 354,878
  4. Step 4: Simplify right side
    236,428x = 125,938,394,884
  5. Step 5: Solve for x
    x = 125,938,394,884/236,428
  6. Step 6: Final answer
    x = 532,671.24

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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.