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Finding the Third Proportional to 120,915 and 190,648.50

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Solution

The third proportional to 120,915 and 190,648.50 is: 300,598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,915 : 190,648.50 = 190,648.50 : x
  2. Step 2: Convert to fraction form
    120,915/190,648.50 = 190,648.50/x
  3. Step 3: Cross multiply
    120,915x = 190,648.50 × 190,648.50
  4. Step 4: Simplify right side
    120,915x = 36,346,850,552.25
  5. Step 5: Solve for x
    x = 36,346,850,552.25/120,915
  6. Step 6: Final answer
    x = 300,598.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.