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Finding the Third Proportional to 280,098 and 431,095.50

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Solution

The third proportional to 280,098 and 431,095.50 is: 663,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,098 : 431,095.50 = 431,095.50 : x
  2. Step 2: Convert to fraction form
    280,098/431,095.50 = 431,095.50/x
  3. Step 3: Cross multiply
    280,098x = 431,095.50 × 431,095.50
  4. Step 4: Simplify right side
    280,098x = 185,843,330,120.25
  5. Step 5: Solve for x
    x = 185,843,330,120.25/280,098
  6. Step 6: Final answer
    x = 663,493.96

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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.