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Finding the Third Proportional to 236,299 and 358,818

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Solution

The third proportional to 236,299 and 358,818 is: 544,862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,299 : 358,818 = 358,818 : x
  2. Step 2: Convert to fraction form
    236,299/358,818 = 358,818/x
  3. Step 3: Cross multiply
    236,299x = 358,818 × 358,818
  4. Step 4: Simplify right side
    236,299x = 128,750,357,124
  5. Step 5: Solve for x
    x = 128,750,357,124/236,299
  6. Step 6: Final answer
    x = 544,862.05

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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.