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Finding the Third Proportional to 235,319 and 355,196

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Solution

The third proportional to 235,319 and 355,196 is: 536,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,319 : 355,196 = 355,196 : x
  2. Step 2: Convert to fraction form
    235,319/355,196 = 355,196/x
  3. Step 3: Cross multiply
    235,319x = 355,196 × 355,196
  4. Step 4: Simplify right side
    235,319x = 126,164,198,416
  5. Step 5: Solve for x
    x = 126,164,198,416/235,319
  6. Step 6: Final answer
    x = 536,141.15

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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.