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Finding the Third Proportional to 235,515 and 363,856.50

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Solution

The third proportional to 235,515 and 363,856.50 is: 562,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,515 : 363,856.50 = 363,856.50 : x
  2. Step 2: Convert to fraction form
    235,515/363,856.50 = 363,856.50/x
  3. Step 3: Cross multiply
    235,515x = 363,856.50 × 363,856.50
  4. Step 4: Simplify right side
    235,515x = 132,391,552,592.25
  5. Step 5: Solve for x
    x = 132,391,552,592.25/235,515
  6. Step 6: Final answer
    x = 562,136.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.