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Finding the Third Proportional to 191,295 and 281,110.50

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Solution

The third proportional to 191,295 and 281,110.50 is: 413,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,295 : 281,110.50 = 281,110.50 : x
  2. Step 2: Convert to fraction form
    191,295/281,110.50 = 281,110.50/x
  3. Step 3: Cross multiply
    191,295x = 281,110.50 × 281,110.50
  4. Step 4: Simplify right side
    191,295x = 79,023,113,210.25
  5. Step 5: Solve for x
    x = 79,023,113,210.25/191,295
  6. Step 6: Final answer
    x = 413,095.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.