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Finding the Third Proportional to 191,416.50 and 288,604.50

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Solution

The third proportional to 191,416.50 and 288,604.50 is: 435,137.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,416.50 : 288,604.50 = 288,604.50 : x
  2. Step 2: Convert to fraction form
    191,416.50/288,604.50 = 288,604.50/x
  3. Step 3: Cross multiply
    191,416.50x = 288,604.50 × 288,604.50
  4. Step 4: Simplify right side
    191,416.50x = 83,292,557,420.25
  5. Step 5: Solve for x
    x = 83,292,557,420.25/191,416.50
  6. Step 6: Final answer
    x = 435,137.81

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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.