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Finding the Third Proportional to 211,575 and 309,257.50

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Solution

The third proportional to 211,575 and 309,257.50 is: 452,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,575 : 309,257.50 = 309,257.50 : x
  2. Step 2: Convert to fraction form
    211,575/309,257.50 = 309,257.50/x
  3. Step 3: Cross multiply
    211,575x = 309,257.50 × 309,257.50
  4. Step 4: Simplify right side
    211,575x = 95,640,201,306.25
  5. Step 5: Solve for x
    x = 95,640,201,306.25/211,575
  6. Step 6: Final answer
    x = 452,039.24

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.