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Finding the Third Proportional to 236,356 and 353,688

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Solution

The third proportional to 236,356 and 353,688 is: 529,266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,356 : 353,688 = 353,688 : x
  2. Step 2: Convert to fraction form
    236,356/353,688 = 353,688/x
  3. Step 3: Cross multiply
    236,356x = 353,688 × 353,688
  4. Step 4: Simplify right side
    236,356x = 125,095,201,344
  5. Step 5: Solve for x
    x = 125,095,201,344/236,356
  6. Step 6: Final answer
    x = 529,266.03

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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.