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Finding the Third Proportional to 214,095 and 281,590.50

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Solution

The third proportional to 214,095 and 281,590.50 is: 370,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,095 : 281,590.50 = 281,590.50 : x
  2. Step 2: Convert to fraction form
    214,095/281,590.50 = 281,590.50/x
  3. Step 3: Cross multiply
    214,095x = 281,590.50 × 281,590.50
  4. Step 4: Simplify right side
    214,095x = 79,293,209,690.25
  5. Step 5: Solve for x
    x = 79,293,209,690.25/214,095
  6. Step 6: Final answer
    x = 370,364.60

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.