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Finding the Third Proportional to 236,200 and 358,674

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Solution

The third proportional to 236,200 and 358,674 is: 544,653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,200 : 358,674 = 358,674 : x
  2. Step 2: Convert to fraction form
    236,200/358,674 = 358,674/x
  3. Step 3: Cross multiply
    236,200x = 358,674 × 358,674
  4. Step 4: Simplify right side
    236,200x = 128,647,038,276
  5. Step 5: Solve for x
    x = 128,647,038,276/236,200
  6. Step 6: Final answer
    x = 544,653.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.