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Finding the Third Proportional to 236,250 and 355,590

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Solution

The third proportional to 236,250 and 355,590 is: 535,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,250 : 355,590 = 355,590 : x
  2. Step 2: Convert to fraction form
    236,250/355,590 = 355,590/x
  3. Step 3: Cross multiply
    236,250x = 355,590 × 355,590
  4. Step 4: Simplify right side
    236,250x = 126,444,248,100
  5. Step 5: Solve for x
    x = 126,444,248,100/236,250
  6. Step 6: Final answer
    x = 535,213.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.